Can I extend a network by connecting two Modems via a RG-6 coax cable? Assuming I have normal routers on either end?

The flow of Data would be as follows: ISP --> Modem 0 --> Router 0 As would be in a normal home internet setup.

Then LAN 0 from Router 0 --> (Via Ethernet) --> Modem 1 WAN

Modem 1 ==> (Via Coax) ==> Modem 2

Modem 2 --> (Via Ethernet) --> Router 1 WAN

Router 1 LAN --> (Via Ethernet) --> Computer 1

I already have the equipment and the cable is already ran between two outbuildings. The modems I have are Arris Surfboards SB6121's.

I assume this is completely possible on a physical level? But, that it might not be possible for me to do with these modems themselves. Has anyone tried to do this? Or is there some special software that ISP's/manufacturers use to assign the correct privileges/settings to these consumer level products? I saw in another answer you could use a MoCA converter, but that's not what I'm really interested in, I would just use radios/repeaters if I wanted a cheap work around.

Thank you in advanced!!

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