Your own link gives lots of examples where compensation was much greater than $3M depending on the severity of the injury.
$8,000,000 Verdict: The plaintiff lost three fingers and underwent numerous surgeries to save her hand. A conveyor belt was detected to have a defect and caught her hand in it, leading to extremely debilitating damages.
$150,000 Verdict: While he was operating machinery in a school, the plaintiff severed the tip of his finger. Thanks to the efforts of medical professionals, the finger was reattached; when he pursued legal action, he was found partially at fault and had a 35% reduction of his verdict.
$1,200,000 Settlement: A young boy, age 11, suffered partial leg amputations after being struck by a train. He was playing on the railroad tracks and was caught. A Minneapolis jury was set to hear the case, but a settlement was reached beforehand.
$400,000 Settlement: A 45-year-old man in Minnesota was working on a tri-roller machine at a bakery when the rollers snatched his glove. His arm was pulled into the machine, causing irreparable damages that resulted in amputation below his elbow.
$325,000 Verdict: A man, nearly 40 years old, suffered an amputation after the cast he wore on his broken arm was applied too tightly, causing ischemia.
$5,000,000 Settlement: A man was struck by a semi-truck while on his motor bike. The crash caused severe damages to his leg. Despite numerous surgeries, the leg could not be adequately fixed, and was amputated below the knee.