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Finding the Third Proportional to 657,150 and 1,412,428

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Solution

The third proportional to 657,150 and 1,412,428 is: 3,035,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,150 : 1,412,428 = 1,412,428 : x
  2. Step 2: Convert to fraction form
    657,150/1,412,428 = 1,412,428/x
  3. Step 3: Cross multiply
    657,150x = 1,412,428 × 1,412,428
  4. Step 4: Simplify right side
    657,150x = 1,994,952,855,184
  5. Step 5: Solve for x
    x = 1,994,952,855,184/657,150
  6. Step 6: Final answer
    x = 3,035,764.83

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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.