An inflatable product can be inflated to a low pressure by a lower-power but high-volume electric pump, then “firmed” or fully inflated by an auxiliary pump. The auxiliary pump may be manually powered, such that the overall cost and complexity of the electric and auxiliary pumps are still lower than a high-power electric pump. The low power high volume electric pump can be easily powered by small batteries that will also provide an increased number of inflations compared to traditional high-power pumps for a given battery capacity. Using small batteries allows the pump to be very compact in size. The auxiliary pump may work through an auxiliary air chamber within the primary air chamber and fluidly connected thereto by a check valve. The electric pump may be reversible to provide for both inflation and deflation.