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Finding the Third Proportional to 534,915,743 and 1,164,794,886

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Solution

The third proportional to 534,915,743 and 1,164,794,886 is: 2,536,375,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,915,743 : 1,164,794,886 = 1,164,794,886 : x
  2. Step 2: Convert to fraction form
    534,915,743/1,164,794,886 = 1,164,794,886/x
  3. Step 3: Cross multiply
    534,915,743x = 1,164,794,886 × 1,164,794,886
  4. Step 4: Simplify right side
    534,915,743x = 1,356,747,126,451,752,960
  5. Step 5: Solve for x
    x = 1,356,747,126,451,752,960/534,915,743
  6. Step 6: Final answer
    x = 2,536,375,390.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.