Final answer:
Alexander the Great sought to blend Greek and Persian cultures by promoting intermarriage and keeping the Persian administrative system intact, incorporating Persian soldiers into his army, and adopting Persian court customs.
Step-by-step explanation:
Alexander the Great sought to create a "hybrid" society after his conquest of Persia by blending Greek and Persian cultures. One example is his promotion of marriages between his Greek and Macedonian officers and Persian noblewomen, symbolizing a formal union of the two civilizations.
Another example is his respect for the Persian administrative system; he retained the existing Persian bureaucracy, including the organization of Satrapies, and incorporated thousands of Persian soldiers into his army.
Alexander adopted Persian customs at his court, such as the practice of subjects prostrating themselves before the king, and showed respect for Darius III's family, fostering goodwill among the Persians. These strategies helped to stabilize and govern the vast territories he had acquired.