He was trained as a flight cadet at the Royal Air Force College and began a career as a pilot.
After completing his secondary education in Riyadh, Prince Muhammad went to the United Kingdom to join the Royal Air Force College Cranwell in 1962 and was trained on the aircraft, graduating with a bachelor's degree in military science and aviation.
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Dogar gained a commission in Royal Air Force, and was accepted into the Royal Air Force Academy in Cranwell.