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Finding the Third Proportional to 657,488 and 1,414,864

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Solution

The third proportional to 657,488 and 1,414,864 is: 3,044,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,488 : 1,414,864 = 1,414,864 : x
  2. Step 2: Convert to fraction form
    657,488/1,414,864 = 1,414,864/x
  3. Step 3: Cross multiply
    657,488x = 1,414,864 × 1,414,864
  4. Step 4: Simplify right side
    657,488x = 2,001,840,138,496
  5. Step 5: Solve for x
    x = 2,001,840,138,496/657,488
  6. Step 6: Final answer
    x = 3,044,679.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.