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Finding the Third Proportional to 594,933 and 1,307,964

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Solution

The third proportional to 594,933 and 1,307,964 is: 2,875,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,933 : 1,307,964 = 1,307,964 : x
  2. Step 2: Convert to fraction form
    594,933/1,307,964 = 1,307,964/x
  3. Step 3: Cross multiply
    594,933x = 1,307,964 × 1,307,964
  4. Step 4: Simplify right side
    594,933x = 1,710,769,825,296
  5. Step 5: Solve for x
    x = 1,710,769,825,296/594,933
  6. Step 6: Final answer
    x = 2,875,567.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.