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Finding the Third Proportional to 725,957,514 and 1,115,848,719

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Solution

The third proportional to 725,957,514 and 1,115,848,719 is: 1,715,139,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,957,514 : 1,115,848,719 = 1,115,848,719 : x
  2. Step 2: Convert to fraction form
    725,957,514/1,115,848,719 = 1,115,848,719/x
  3. Step 3: Cross multiply
    725,957,514x = 1,115,848,719 × 1,115,848,719
  4. Step 4: Simplify right side
    725,957,514x = 1,245,118,363,693,940,992
  5. Step 5: Solve for x
    x = 1,245,118,363,693,940,992/725,957,514
  6. Step 6: Final answer
    x = 1,715,139,439.54

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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.