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Finding the Third Proportional to 657,486 and 1,414,860

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Solution

The third proportional to 657,486 and 1,414,860 is: 3,044,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,486 : 1,414,860 = 1,414,860 : x
  2. Step 2: Convert to fraction form
    657,486/1,414,860 = 1,414,860/x
  3. Step 3: Cross multiply
    657,486x = 1,414,860 × 1,414,860
  4. Step 4: Simplify right side
    657,486x = 2,001,828,819,600
  5. Step 5: Solve for x
    x = 2,001,828,819,600/657,486
  6. Step 6: Final answer
    x = 3,044,671.40

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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.