It has been shown that the entire population of the world at present, could fit onto Manhattan Island in New York City. Admittedly that is standing up, but it's a sobering thought.
And the entire population of the world could live, and be sustained, by a land mass the size of the USA.
You are missing the point, which is that women are prone to not "approach you" but instead send of some kind of subtle signals that they want the man to approach them.
The problem is that men often don't understand, and women therefore think the man is not interested.
It's neither mens' fault nor womens' fault - it's just that things get "lost in translation".
RE: Distance relationships
I think they are relationships between people are a fair distance apart from each other, such as in different countries.They are increasingly common, too.