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Finding the Third Proportional to 515,241 and 1,098,957

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Solution

The third proportional to 515,241 and 1,098,957 is: 2,343,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,241 : 1,098,957 = 1,098,957 : x
  2. Step 2: Convert to fraction form
    515,241/1,098,957 = 1,098,957/x
  3. Step 3: Cross multiply
    515,241x = 1,098,957 × 1,098,957
  4. Step 4: Simplify right side
    515,241x = 1,207,706,487,849
  5. Step 5: Solve for x
    x = 1,207,706,487,849/515,241
  6. Step 6: Final answer
    x = 2,343,964.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.