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Finding the Third Proportional to 757,515 and 1,657,563

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Solution

The third proportional to 757,515 and 1,657,563 is: 3,627,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,515 : 1,657,563 = 1,657,563 : x
  2. Step 2: Convert to fraction form
    757,515/1,657,563 = 1,657,563/x
  3. Step 3: Cross multiply
    757,515x = 1,657,563 × 1,657,563
  4. Step 4: Simplify right side
    757,515x = 2,747,515,098,969
  5. Step 5: Solve for x
    x = 2,747,515,098,969/757,515
  6. Step 6: Final answer
    x = 3,627,010.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.