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Finding the Third Proportional to 695,768,538 and 1,491,134,241

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Solution

The third proportional to 695,768,538 and 1,491,134,241 is: 3,195,719,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,768,538 : 1,491,134,241 = 1,491,134,241 : x
  2. Step 2: Convert to fraction form
    695,768,538/1,491,134,241 = 1,491,134,241/x
  3. Step 3: Cross multiply
    695,768,538x = 1,491,134,241 × 1,491,134,241
  4. Step 4: Simplify right side
    695,768,538x = 2,223,481,324,682,646,016
  5. Step 5: Solve for x
    x = 2,223,481,324,682,646,016/695,768,538
  6. Step 6: Final answer
    x = 3,195,719,845.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.