Since there are only HDMI and VGA as video connectors, your cables must each be one and this product has a design flaw where VGA and HDMI do not fit at the same time. And it's not that "my cables are different": the VGA connectors are pretty much the same, leaving 1mm for the plastic part of the HDMI connector. If there is such a cable that will do the job, which I doubt, you're going to have to spend more money on something that's a design flaw.
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