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Finding the Third Proportional to 515,577 and 1,132,713

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Solution

The third proportional to 515,577 and 1,132,713 is: 2,488,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,577 : 1,132,713 = 1,132,713 : x
  2. Step 2: Convert to fraction form
    515,577/1,132,713 = 1,132,713/x
  3. Step 3: Cross multiply
    515,577x = 1,132,713 × 1,132,713
  4. Step 4: Simplify right side
    515,577x = 1,283,038,740,369
  5. Step 5: Solve for x
    x = 1,283,038,740,369/515,577
  6. Step 6: Final answer
    x = 2,488,549.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.