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Finding the Third Proportional to 657,128 and 1,412,530

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Solution

The third proportional to 657,128 and 1,412,530 is: 3,036,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,128 : 1,412,530 = 1,412,530 : x
  2. Step 2: Convert to fraction form
    657,128/1,412,530 = 1,412,530/x
  3. Step 3: Cross multiply
    657,128x = 1,412,530 × 1,412,530
  4. Step 4: Simplify right side
    657,128x = 1,995,241,000,900
  5. Step 5: Solve for x
    x = 1,995,241,000,900/657,128
  6. Step 6: Final answer
    x = 3,036,304.95

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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.