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Finding the Third Proportional to 781,864 and 1,713,204

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Solution

The third proportional to 781,864 and 1,713,204 is: 3,753,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,864 : 1,713,204 = 1,713,204 : x
  2. Step 2: Convert to fraction form
    781,864/1,713,204 = 1,713,204/x
  3. Step 3: Cross multiply
    781,864x = 1,713,204 × 1,713,204
  4. Step 4: Simplify right side
    781,864x = 2,935,067,945,616
  5. Step 5: Solve for x
    x = 2,935,067,945,616/781,864
  6. Step 6: Final answer
    x = 3,753,936.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.