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So why pray to a Saint (intercessory or not) when a person can pray to Christ the King?
Suppose, for the time being, that all fathers (in families) were the heads of their households. And one such family's little child wanted a puppy. That little child, if his/her father was somewhat firm, might go to their mother, and ask, "Could you please ask dad to allow me to have a puppy?"

Saints were regular people other than the fact they put Christ above all. So they are easier to approach for many people. And since they all led the most spectacularly unique lives (again, all for Jesus!), this draws many asking for favors (of intercession). There have been many miracles attributed to the intercession of saints; some saints are almost ridiculously "popular," but it's always Christ Who allows the miracle... attributed to a saint.