An organic interposer includes interconnect-level dielectric material layers embedding redistribution interconnect structures, at least one dielectric capping layer overlying a topmost interconnect-level dielectric material layer, a bonding-level dielectric layer overlying the at least one dielectric capping layer, and a dual-layer inductor structure, which may include a lower conductive coil embedded within the topmost interconnect-level dielectric material layer, a conductive via structure vertically extending through the at least one dielectric capping layer, and an upper conductive coil embedded within the bonding-level dielectric layer and comprising copper.