Sometimes a TQ just won't suffice.
My EMT instructor, a former Navy paramedic, once rode with a patient to the ER, his fingers clamping her carotid artery all the while.  A TQ would have had bad consequences in that situation.
 
You probably won't find this procedure in any manual.  he was later sued, unsuccessfully, by the patient for facial disfigurement.
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Geezer in Chief