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Finding the Third Proportional to 1,031,949 and 2,188,782

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Solution

The third proportional to 1,031,949 and 2,188,782 is: 4,642,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,949 : 2,188,782 = 2,188,782 : x
  2. Step 2: Convert to fraction form
    1,031,949/2,188,782 = 2,188,782/x
  3. Step 3: Cross multiply
    1,031,949x = 2,188,782 × 2,188,782
  4. Step 4: Simplify right side
    1,031,949x = 4,790,766,643,524
  5. Step 5: Solve for x
    x = 4,790,766,643,524/1,031,949
  6. Step 6: Final answer
    x = 4,642,445.16

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.