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Finding the Third Proportional to 797,731,872 and 1,225,413,828

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Solution

The third proportional to 797,731,872 and 1,225,413,828 is: 1,882,385,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,731,872 : 1,225,413,828 = 1,225,413,828 : x
  2. Step 2: Convert to fraction form
    797,731,872/1,225,413,828 = 1,225,413,828/x
  3. Step 3: Cross multiply
    797,731,872x = 1,225,413,828 × 1,225,413,828
  4. Step 4: Simplify right side
    797,731,872x = 1,501,639,049,853,613,568
  5. Step 5: Solve for x
    x = 1,501,639,049,853,613,568/797,731,872
  6. Step 6: Final answer
    x = 1,882,385,676.89

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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.