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Finding the Third Proportional to 797,731,866 and 1,225,413,822

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Solution

The third proportional to 797,731,866 and 1,225,413,822 is: 1,882,385,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,731,866 : 1,225,413,822 = 1,225,413,822 : x
  2. Step 2: Convert to fraction form
    797,731,866/1,225,413,822 = 1,225,413,822/x
  3. Step 3: Cross multiply
    797,731,866x = 1,225,413,822 × 1,225,413,822
  4. Step 4: Simplify right side
    797,731,866x = 1,501,639,035,148,647,680
  5. Step 5: Solve for x
    x = 1,501,639,035,148,647,680/797,731,866
  6. Step 6: Final answer
    x = 1,882,385,672.62

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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.