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Finding the Third Proportional to 424,824,775 and 656,103,683

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Solution

The third proportional to 424,824,775 and 656,103,683 is: 1,013,293,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,775 : 656,103,683 = 656,103,683 : x
  2. Step 2: Convert to fraction form
    424,824,775/656,103,683 = 656,103,683/x
  3. Step 3: Cross multiply
    424,824,775x = 656,103,683 × 656,103,683
  4. Step 4: Simplify right side
    424,824,775x = 430,472,042,846,164,480
  5. Step 5: Solve for x
    x = 430,472,042,846,164,480/424,824,775
  6. Step 6: Final answer
    x = 1,013,293,169.75

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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.