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numbers are a "bit" exaggarated though you're right. ottoman empire grew decadent and eventually being soldier was so profitable military poisitions such as even being ordinary janissary was being sold upon people who ready to provide the bribe. not to mention akıncı ocağı has disolved too early.
> Ottomans really have that many people to spare as cannon fodder?
Know that Ottomans mainly consisted only balkan part of the empire when they making campaign against european states. And only anatolian ones when they campaign against Iran and Egypt. Not to mention anatolian part had low population density and pretty low authority in most cases. It's highly debatable that we manage to get so many troops.
We're good at small unit tactics even during the 1st and 2nd balkan wars era. Because important positions usually given to quite retards some even illiterate, meanwhile heads of small brigades were graduated from the academy during the balkan wars.