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Finding the Third Proportional to 3,782,839 and 6,022,182

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Solution

The third proportional to 3,782,839 and 6,022,182 is: 9,587,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,839 : 6,022,182 = 6,022,182 : x
  2. Step 2: Convert to fraction form
    3,782,839/6,022,182 = 6,022,182/x
  3. Step 3: Cross multiply
    3,782,839x = 6,022,182 × 6,022,182
  4. Step 4: Simplify right side
    3,782,839x = 36,266,676,041,124
  5. Step 5: Solve for x
    x = 36,266,676,041,124/3,782,839
  6. Step 6: Final answer
    x = 9,587,158.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.