Brazil and the United States have in common that both their Capitals were planned cities. In Brazil's case, it moved from Salvador to Rio de Janeiro, and then to Brasília because they wanted the capital to be at the center of the country.

As a kid, this did lead me to believe that every country had their capital in the center, and then was very confused to discover D.C. was located close to the east coast, and that many countries have their capitals near water if possible. Of course that makes perfect sense to me now...