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Finding the Third Proportional to 2,098,737 and 4,449,687.75

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Solution

The third proportional to 2,098,737 and 4,449,687.75 is: 9,434,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,737 : 4,449,687.75 = 4,449,687.75 : x
  2. Step 2: Convert to fraction form
    2,098,737/4,449,687.75 = 4,449,687.75/x
  3. Step 3: Cross multiply
    2,098,737x = 4,449,687.75 × 4,449,687.75
  4. Step 4: Simplify right side
    2,098,737x = 19,799,721,072,500.06
  5. Step 5: Solve for x
    x = 19,799,721,072,500.06/2,098,737
  6. Step 6: Final answer
    x = 9,434,112.55

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Why These Related Problems?

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