*Miroslavъ (Proto-Slavic) comes from Proto-Slavic mirъ, from Proto-Balto-Slavic meiˀrás, from Proto-Indo-European meyH-ró-s, from Proto-Indo-European mey- — to strengthen; to bind; to change, exchange.
Ancestry of “*Miroslavъ”, step by step
*Miroslavъ traces back through two separate lines of ancestry.