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Finding the Third Proportional to 2,099,450 and 4,287,469

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Solution

The third proportional to 2,099,450 and 4,287,469 is: 8,755,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,450 : 4,287,469 = 4,287,469 : x
  2. Step 2: Convert to fraction form
    2,099,450/4,287,469 = 4,287,469/x
  3. Step 3: Cross multiply
    2,099,450x = 4,287,469 × 4,287,469
  4. Step 4: Simplify right side
    2,099,450x = 18,382,390,425,961
  5. Step 5: Solve for x
    x = 18,382,390,425,961/2,099,450
  6. Step 6: Final answer
    x = 8,755,812.44

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.