स तया श्रद्धया युक्तस्तस्याराधनमीहते।लभते च ततः कामान्मयैव विहितान् हि तान्॥
sa tayā śraddhayā yuktas tasyārādhanam īhatelabhate ca tataḥ kāmān mayaiva vihitān hi tān
Word by word
The verse says
Joined to that faith, he sets about worshipping that form — and he obtains what he wants, though in truth it is I alone who grant it.
In plain words
The wishes are actually granted. That should be said plainly.
But the granting does not come from where the person thinks it comes from.
One source. Many addresses.
Where you've felt this · at work
You got your first job because a family friend made a call for you. For years afterwards you thanked him, and he let you, and you assumed he had simply taken a liking to you. Much later you found out that your father had asked him, quietly, and had asked him not to mention it.
Going deeper
Nothing is being exposed as fake here, which is worth getting straight before anything else.
The verse does not say the other gods are imaginary or that those prayers go nowhere. It says the prayers work, and that the supply behind them is single. What changes is not the result. It is where the account sits.
That shape is familiar once you look for it. Help usually arrives through somebody, and the person who handed it over is rarely the reason it existed. You can be genuinely grateful to the hand and still be wrong about the source, and the gratitude is not wasted for that.
The practical edge is small and real. Thanks aimed at the middle of a chain leaves you believing the supply is narrower and more particular than it actually is.