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Finding the Third Proportional to 274,472,084 and 602,691,880

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Solution

The third proportional to 274,472,084 and 602,691,880 is: 1,323,404,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,472,084 : 602,691,880 = 602,691,880 : x
  2. Step 2: Convert to fraction form
    274,472,084/602,691,880 = 602,691,880/x
  3. Step 3: Cross multiply
    274,472,084x = 602,691,880 × 602,691,880
  4. Step 4: Simplify right side
    274,472,084x = 363,237,502,217,934,400
  5. Step 5: Solve for x
    x = 363,237,502,217,934,400/274,472,084
  6. Step 6: Final answer
    x = 1,323,404,176.21

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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.