A hypothetical single-electron atom has quantized energy levels given by the expression \(E_n = -\dfrac{E_0}{n^2}\), where \(E_0\) is a positive constant and \(n = 1, 2, 3, \dots\) represents the principal quantum number. An electron transition from state \(n = 3\) to state \(n = 2\) emits a photon of wavelength \(\lambda_{3\to 2}\). In a separate process, an electron transition from state \(n = 2\) to state \(n = 1\) emits a photon of wavelength \(\lambda_{2\to 1}\). What is the ratio \(\dfrac{\lambda_{3\to 2}}{\lambda_{2\to 1}}\)?