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Finding the Third Proportional to 3,781,217 and 5,811,976

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Solution

The third proportional to 3,781,217 and 5,811,976 is: 8,933,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,217 : 5,811,976 = 5,811,976 : x
  2. Step 2: Convert to fraction form
    3,781,217/5,811,976 = 5,811,976/x
  3. Step 3: Cross multiply
    3,781,217x = 5,811,976 × 5,811,976
  4. Step 4: Simplify right side
    3,781,217x = 33,779,065,024,576
  5. Step 5: Solve for x
    x = 33,779,065,024,576/3,781,217
  6. Step 6: Final answer
    x = 8,933,384.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.