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Finding the Third Proportional to 606,491,032 and 866,689,821

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Solution

The third proportional to 606,491,032 and 866,689,821 is: 1,238,519,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,491,032 : 866,689,821 = 866,689,821 : x
  2. Step 2: Convert to fraction form
    606,491,032/866,689,821 = 866,689,821/x
  3. Step 3: Cross multiply
    606,491,032x = 866,689,821 × 866,689,821
  4. Step 4: Simplify right side
    606,491,032x = 751,151,245,825,012,096
  5. Step 5: Solve for x
    x = 751,151,245,825,012,096/606,491,032
  6. Step 6: Final answer
    x = 1,238,519,955.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.