  An examination of the symmetries manifest in the QCD path integral for
current matrix elements reveals various equalities among the quark sector
contributions. QCD equalities among octet baryon magnetic moments lead to a
determination of the disconnected sea-quark contribution to nucleon magnetic
moments, which is the most reliable determination in the literature. Matching
QCD equalities to recent calculations of decuplet baryon magnetic moments in
chiral perturbation theory (ChiPT) reveals an equivalence between ChiPT to
order $p^2$ and the simple quark model with an explicit disconnected sea-quark
contribution. New insights into SU(3)-flavor symmetry breaking, sea
contributions and constituent quark composition are obtained. The strangeness
contribution to nucleon magnetic moments is found to be large at $G_M^s(0) =
-0.75 \pm 0.30\ \mu_N$. The QCD equalities must be followed by any model which
hopes to capture the essence of nonperturbative QCD. Not all models are in
accord with these symmetries.
