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The first thing is to determine what artery provides blood to the lower right first molar. The lower teeth sit in the mandible and are supplied by branches of the

The major artery in the mandible supplying the teeth is the inferior alveolar artery, which sends branches to supply the roots of each tooth (including the first molar) in the lower jaw.

Next is to find the origin of the inferior alveolar artery and work backwards until we get to the ascending aorta. The inferior alveolar artery is a branch of the internal maxillary artery, which itself is a branch of the external carotid artery. The external carotid artery is a branch of the common carotid artery.

So far everything has been symmetrical, so it hasn't mattered whether we specified that the artery was on the right or the left side. But the common carotid arteries behave a little differently. The right common carotid is a branch of the innominate artery, which branches from the aortic arch. The left common carotid artery branches directly from the aortic arch. Since we're concerned with the lower right first molar, we'll work backwards from the right common carotid, innominate artery, and aortic arch.

The last bit is just to know that the aortic arch is an extension of the ascending aorta. With that, we're done. Now we just sew the whole thing together, artery by artery, in the reverse order:

Ascending aorta -> aortic arch -> innominate artery -> right common carotid artery -> right external carotid artery -> right internal maxillary artery -> right inferior alveolar artery -> branch to lower right first molar.

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