\( \begin{array}{l} \frac{3}{5} r=2 \\ \frac{5}{3} \cdot \frac{\square}{5} r=\square \cdot \frac{5}{3} \\ r=\frac{2}{\square} \cdot \frac{5}{3} \\ r=\frac{10}{3}=\square \\ \text { (Type whole numbers, fractions, or mixed numbers.) }\end{array} \)

Sure, let's fill in the missing numbers step by step. \[ \begin{array}{l} \frac{3}{5} r = 2 \\ \frac{5}{3} \cdot \frac{\boxed{3}}{5} r = \boxed{2} \cdot \frac{5}{3} \\ r = \frac{2}{\boxed{1}} \cdot \frac{5}{3} \\ r = \frac{10}{3} = \boxed{\frac{10}{3}} \\ \text{(Type whole numbers, fractions, or mixed numbers.)} \end{array} \] **Filled-in Numbers:** 1. **First Blank in Line 2:** \(3\) 2. **Second Blank in Line 2:** \(2\) 3. **Blank in Line 3:** \(1\) 4. **Blank in Line 4:** \(\frac{10}{3}\) **Final Solution:** \[ r = \frac{10}{3} \] You can also express \(\frac{10}{3}\) as a mixed number: \[ r = 3 \frac{1}{3} \]