Do the KamLAND and solar neutrino data rule out solar density fluctuations?

We elucidate the effects of solar density fluctuations on neutrino propagation through the Sun. Using data from the recent solar neutrino and KamLAND experiments we provide stringent limits on solar density fluctuations. It is shown that the neutrino data constrain solar density fluctuations to be less than $\beta =0.05\mathrm{}$ at the 70% confidence level, where $\beta$ is the fractional fluctuation around the value given by the standard solar model. We find that the best fit to the combined solar neutrino and KamLAND data is given by $\beta =0.\mathrm{}$