Final answer:
Ivan III's achievements with the Kremlin include turning it into a grand fortress, making it the center of Russian government, expanding its territory, and later transforming it into a cultural center.
Step-by-step explanation:
Ivan III, also known as Ivan the Great, made several achievements with the Kremlin. Firstly, he built the Kremlin into a grand fortress, strengthening its defensive capabilities. Secondly, he established the Kremlin as the center of Russian government, making it the political and administrative hub of the country. Thirdly, he expanded the Kremlin's territory, increasing its size and influence. Lastly, although not directly attributed to Ivan III, the Kremlin eventually evolved into a cultural center, hosting significant events and becoming a symbol of Russian history and heritage.