Let me tell you the sacred narrative as revealed in the Padma Purāṇa, flowing faithfully from the verses you have provided. Those who are freed from the bonds of worldly existence reach the state of true happiness. Upon attaining this state, they do not return to the cycle of birth and death—thus, it is called liberation. This liberation is the supreme state: divine, immortal, and imperishable. It is the eternal abode of Viṣṇu, known as Vaikuṇṭha, the highest and everlasting realm. This place is the supreme sky, ancient and eternal, and these names are all synonymous with the supreme abode of Acyuta. Now, the scripture declares, the form of that threefold manifestation will be described in detail. In the glorious Padma Mahāpurāṇa, specifically in the Uttarakhaṇḍa of its vast fifty-five-thousand-verse collection, within the dialogue between Umā and Maheśvara, this is the two hundred twenty-seventh chapter, entitled 'The Description of the Threefold Manifestation.' Śrī Rudra spoke: "O Hiranyakṣa and Hiraṇyakaśipu, sons of Kaśyapa, born of Diti, mighty in strength and valor, lords of all the Daityas. By name, they were Jaya and Vijaya. In Śvetadvīpa, they approached Hari. There, these powerful ones barred the way of the great sages—Sanaka and his brothers—who were eager to behold Hari. O Goddess, these two, the best among the gods, prevented the sages who longed to see Hari, and were cursed by them. The Sanakas declared, 'You have abandoned your former path and become servants of the god on earth.' Rudra continued: Having uttered this curse, the sages remained there. The god, knowing all, summoned those two gatekeepers. Rising up, they were addressed by the Blessed Lord, the creator of all beings: 'You two, mighty in strength, have committed an offense against these great souls. This curse cannot be transgressed by you, O gatekeepers. For seven births, you will be my faultless devotees in servitude—or, as enemies, for three births, even while worshipping me.' Thus addressed, Jaya and Vijaya spoke to the Supreme Lord: 'O bestower of honor, we cannot bear to remain long on earth. Therefore, let us be born as enemies. Let us go.' They added, 'By being slain by divinity, we will attain your presence.' Rudra continued: Having spoken thus, the two mighty gatekeepers were first born again on earth. They became the sons of Kaśyapa, great demons in Diti’s womb—Hiraṇyakaśipu the elder and Hiraṇyākṣa the younger. Both were renowned throughout the worlds, proud and mighty in strength. Hiraṇyākṣa, immeasurable in body and exceedingly arrogant, possessed thousands of arms. He uprooted the earth, along with its mountains, oceans, islands, and all living beings. Placing the earth upon his head, he entered the netherworld, causing all the hosts of gods to cry out in fear. The gods sought refuge in Nārāyaṇa, who is free from affliction. Knowing the wondrous event, the bearer of the conch, discus, and mace—Janārdana—assumed the form of a mighty boar and the universal form, whose body has neither beginning, middle, nor end, the essence of all gods. With hands and eyes everywhere, great tusks and powerful arms, the supreme lord slew the demon with a single tusk. The wicked offspring of Diti, his massive body crushed, died. Seeing the earth fallen, the lord lifted it with his tusk as before. Having established and supported the earth upon Śeṣa, then in the form of a tortoise, all the gods and sages, seeing Hari in the form of the boar, bowed in devotion and praised him. The gods offered hymns: 'Salutations to the sacrificial boar! Salutations to you with a hundred arms! Salutations to the god of gods, to you who possess the universal form! Salutations to you, embodiment of preservation, form of all sacrifices, and time itself, measured by moments, minutes, and hours! Salutations to you, soul of all beings, form of the Ṛg Veda, soul of the gods, and form of the Sāma Veda! Salutations to you, embodiment of Om, form of the Yajur Veda, and the Ṛg verses, composed of the four Vedas! Salutations to you, who are the Vedas and their limbs, with all their parts and sub-parts! Salutations to Govinda, you who are without beginning or end! Salutations to you, knower of the Vedas, the unique, supreme form! Repeated salutations to the lord of Śrī and Bhū, father of the world!' Rudra said: Thus, having praised the god in the form of the boar, they worshipped Hari with scents, flowers, and other offerings. Being worshipped by the gods, Hari granted them their desired boon. Rejoicing, he was sung to by Gandharvas and Apsarases. Praised by the great sages, he vanished there. Whoever praises him with devotion, rising early in the morning, obtains the desired earth, long endowed with abundant crops and fruits. All this Varāha's glory has been told to you. Now I will speak of Nārasiṃha—listen, O goddess with radiant face. Thus ends the two hundred thirty-seventh chapter of the Padma Mahāpurāṇa, Uttara Khaṇḍa, named 'The Story of the Varāha Incarnation.' Rudra continued: Knowing his brother had been slain, Hiraṇyakaśipu, the great demon, performed austerities beside Mount Meru, directed at me. For thousands of divine years, subsisting on air, mighty in strength, chanting the five-syllable mantra, he worshipped me, O auspicious one. Then, with a delighted heart, I spoke to that great asura: 'Choose a boon, O Daitya, whatever is in your mind.' The Daitya replied: 'Among the gods, asuras, humans, gandharvas, serpents, rākṣasas, cattle, birds, wild animals, and the great perfected beings—among yakṣas, vidyādharas, and kinnaras, and from all diseases and weapons, and from all the foremost sages—grant me invulnerability.' Rudra said: 'So be it,' and thus I spoke to that rākṣasa, O lovely one. Having obtained this great boon from me, that mighty Daitya continued his path. Thus, the story flows from the liberation of souls, through the descent and deeds of Jaya and Vijaya, their birth as mighty demons, the Varāha incarnation of Hari, and the rise of Hiraṇyakaśipu, setting the stage for further divine events.