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Finding the Third Proportional to 4,211,546.91 and 6,469,451.41

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Solution

The third proportional to 4,211,546.91 and 6,469,451.41 is: 9,937,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,546.91 : 6,469,451.41 = 6,469,451.41 : x
  2. Step 2: Convert to fraction form
    4,211,546.91/6,469,451.41 = 6,469,451.41/x
  3. Step 3: Cross multiply
    4,211,546.91x = 6,469,451.41 × 6,469,451.41
  4. Step 4: Simplify right side
    4,211,546.91x = 41,853,801,561,010.76
  5. Step 5: Solve for x
    x = 41,853,801,561,010.76/4,211,546.91
  6. Step 6: Final answer
    x = 9,937,869.03

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