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Finding the Third Proportional to 657,558 and 1,414,908

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Solution

The third proportional to 657,558 and 1,414,908 is: 3,044,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,558 : 1,414,908 = 1,414,908 : x
  2. Step 2: Convert to fraction form
    657,558/1,414,908 = 1,414,908/x
  3. Step 3: Cross multiply
    657,558x = 1,414,908 × 1,414,908
  4. Step 4: Simplify right side
    657,558x = 2,001,964,648,464
  5. Step 5: Solve for x
    x = 2,001,964,648,464/657,558
  6. Step 6: Final answer
    x = 3,044,544.59

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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.