Mogul
Etymology
From Persian and Urdu "Muġul," a name for the Mughal emperors who ruled much of India, itself derived from "Mongol." Their legendary wealth and power gave English "mogul" for a magnate.
The bump on a ski slope is a separate word — probably from a dialectal or Scandinavian term for a heap or mound (compare Norwegian "muge").
noun · /MOH-gul/
A person of great power and wealth within a particular field.
What it names
The dominant figure of an industry — the media mogul, the movie mogul — whose sway over a domain is nearly total.
Example
A publishing mogul now owned every newspaper worth reading in three states.
Related idea
A tycoon built a broad business empire; mogul is often reserved for dominance of one specific field.
noun · /MOH-gul/
A bump or mound of hard-packed snow on a ski slope.
What it names
the ridges a skier weaves through on a steep run
Example
She carved down a field of moguls.
Related idea
Nothing to do with the tycoon sense — a pure coincidence of spelling.