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Finding the Third Proportional to 424,824,761 and 656,103,662

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Solution

The third proportional to 424,824,761 and 656,103,662 is: 1,013,293,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,761 : 656,103,662 = 656,103,662 : x
  2. Step 2: Convert to fraction form
    424,824,761/656,103,662 = 656,103,662/x
  3. Step 3: Cross multiply
    424,824,761x = 656,103,662 × 656,103,662
  4. Step 4: Simplify right side
    424,824,761x = 430,472,015,289,810,240
  5. Step 5: Solve for x
    x = 430,472,015,289,810,240/424,824,761
  6. Step 6: Final answer
    x = 1,013,293,138.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.