There are two main types of cable bridges cable-stayed bridged with tentioned cables and self suported base (like Pont de Normandie) and Suspension bridge (like Golden Gate) with long main cable and suspended cables.
Cable-stayed are easier to build but they have shorter the span than Suspension bridges. Suspension requires huge anchores (in most cases) and more complicated to build (firs main cable than support).
http://theconstructor.org/structures/classification-of-steel-bridges/2092/
The longest current cable-stayed Russky Bridge is actually 1.1 km
I offer to join them in hybrid mode to possibly get some extra benefits.
Stayed cables (1) work for short distance. They are build in first place covering essential part of the bridge. Futher from the base the angle makes them ineficient.
The main suspended cable (2) takes the weight of the middle section of the bridge through short suspended cables (3). The anchors (4) could be smaller and the main cable is thinner.
To make bridge a bit more rigid to the side wind vibration amplitude some short extra support (4) could be added to form structures like in extradosed bridges.
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