It is true that the Macedonian army did face a larger Persian force at Gaugamela but the Persian army at the battle did not number one million like Plutarch said in the work, modern estimates of the Persian force range from fifty-two to ninety-one thousand.
While Darius had a significant advantage in numbers, most of his troops were of a lower quality than Alexander's. The bulk of their infantry were lightly armored and their spears not long enough to counter the much longer sarissa. Overall, Alexander’s army had the advantage in almost every way. Gaugamela was a great battle, a battle won by a great
man.