The coast of Chile and Peru is 2,400 miles and a 5-6 hour flight away and just about as far from Tahiti in the other direction. The nearest inhabited island is Pitcairn, 1,200 miles to the west(of HMS Bounty and Mutiny fame).
Native Eastern Islanders, or Rapa Nuians, called their home the Navel of the World. When you fly for 5-6 hours across the Pacific Ocean at 27′ South Latitude that’s how it feels.
Easter Island is one of the world’s most famous, yet least visited World Heritage Sites.