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Finding the Third Proportional to 912,644 and 1,418,747

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Solution

The third proportional to 912,644 and 1,418,747 is: 2,205,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,644 : 1,418,747 = 1,418,747 : x
  2. Step 2: Convert to fraction form
    912,644/1,418,747 = 1,418,747/x
  3. Step 3: Cross multiply
    912,644x = 1,418,747 × 1,418,747
  4. Step 4: Simplify right side
    912,644x = 2,012,843,050,009
  5. Step 5: Solve for x
    x = 2,012,843,050,009/912,644
  6. Step 6: Final answer
    x = 2,205,507.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.