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Finding the Third Proportional to 564,444 and 1,207,566

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Solution

The third proportional to 564,444 and 1,207,566 is: 2,583,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,444 : 1,207,566 = 1,207,566 : x
  2. Step 2: Convert to fraction form
    564,444/1,207,566 = 1,207,566/x
  3. Step 3: Cross multiply
    564,444x = 1,207,566 × 1,207,566
  4. Step 4: Simplify right side
    564,444x = 1,458,215,644,356
  5. Step 5: Solve for x
    x = 1,458,215,644,356/564,444
  6. Step 6: Final answer
    x = 2,583,454.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.