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Firstly, you cannot buy modems to use with Virgin Media Cable. It's the one they supply or nothing. All you need is the single ethernet port on the modem. Connect that to the Router's WAN (internet) port, instead of direct between modem and PC, reboot modem and router and the router should be connected.
If you have an adsl virgin Media service, you can again connect the ethernet port to the modem. Alternatively you can get a combined ADSL modem router.