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Finding the Third Proportional to 274,472,082 and 602,691,876

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Solution

The third proportional to 274,472,082 and 602,691,876 is: 1,323,404,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,472,082 : 602,691,876 = 602,691,876 : x
  2. Step 2: Convert to fraction form
    274,472,082/602,691,876 = 602,691,876/x
  3. Step 3: Cross multiply
    274,472,082x = 602,691,876 × 602,691,876
  4. Step 4: Simplify right side
    274,472,082x = 363,237,497,396,399,360
  5. Step 5: Solve for x
    x = 363,237,497,396,399,360/274,472,082
  6. Step 6: Final answer
    x = 1,323,404,168.28

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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.