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Finding the Third Proportional to 695,768,544 and 1,491,134,253

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Solution

The third proportional to 695,768,544 and 1,491,134,253 is: 3,195,719,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,768,544 : 1,491,134,253 = 1,491,134,253 : x
  2. Step 2: Convert to fraction form
    695,768,544/1,491,134,253 = 1,491,134,253/x
  3. Step 3: Cross multiply
    695,768,544x = 1,491,134,253 × 1,491,134,253
  4. Step 4: Simplify right side
    695,768,544x = 2,223,481,360,469,868,032
  5. Step 5: Solve for x
    x = 2,223,481,360,469,868,032/695,768,544
  6. Step 6: Final answer
    x = 3,195,719,869.26

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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.