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Finding the Third Proportional to 3,802,321 and 8,454,782

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Solution

The third proportional to 3,802,321 and 8,454,782 is: 18,799,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802,321 : 8,454,782 = 8,454,782 : x
  2. Step 2: Convert to fraction form
    3,802,321/8,454,782 = 8,454,782/x
  3. Step 3: Cross multiply
    3,802,321x = 8,454,782 × 8,454,782
  4. Step 4: Simplify right side
    3,802,321x = 71,483,338,667,524
  5. Step 5: Solve for x
    x = 71,483,338,667,524/3,802,321
  6. Step 6: Final answer
    x = 18,799,922.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.