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Finding the Third Proportional to 657,484 and 1,414,856

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Solution

The third proportional to 657,484 and 1,414,856 is: 3,044,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,484 : 1,414,856 = 1,414,856 : x
  2. Step 2: Convert to fraction form
    657,484/1,414,856 = 1,414,856/x
  3. Step 3: Cross multiply
    657,484x = 1,414,856 × 1,414,856
  4. Step 4: Simplify right side
    657,484x = 2,001,817,500,736
  5. Step 5: Solve for x
    x = 2,001,817,500,736/657,484
  6. Step 6: Final answer
    x = 3,044,663.45

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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.