Where do you get the 1000x from? Have a look at the submitted article to see a map of the kingdom Alexander inherited. It's substantially bigger than 0.001x of Alexander's empire's greatest extent.
Have a look at the article. See the map with the legend:
> Via Wikipedia, a map of the expansion of Macedonian controlled territory during the reign of Philip II. Philip controlled only the darkest orange area (and not all of it) at the start of his reign; by the end he controlled Macedon, Thrace, Thessaly and the Greek states of the League of Corinth.
Macedon, Thrace, Thessaly and the Greek states of the League of Corinth together are more than 1% of Alexander's empire.