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Finding the Third Proportional to 1,031,742 and 2,272,716

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Solution

The third proportional to 1,031,742 and 2,272,716 is: 5,006,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,742 : 2,272,716 = 2,272,716 : x
  2. Step 2: Convert to fraction form
    1,031,742/2,272,716 = 2,272,716/x
  3. Step 3: Cross multiply
    1,031,742x = 2,272,716 × 2,272,716
  4. Step 4: Simplify right side
    1,031,742x = 5,165,238,016,656
  5. Step 5: Solve for x
    x = 5,165,238,016,656/1,031,742
  6. Step 6: Final answer
    x = 5,006,327.18

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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.