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Finding the Third Proportional to 674,197.50 and 1,448,448

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Solution

The third proportional to 674,197.50 and 1,448,448 is: 3,111,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,197.50 : 1,448,448 = 1,448,448 : x
  2. Step 2: Convert to fraction form
    674,197.50/1,448,448 = 1,448,448/x
  3. Step 3: Cross multiply
    674,197.50x = 1,448,448 × 1,448,448
  4. Step 4: Simplify right side
    674,197.50x = 2,098,001,608,704
  5. Step 5: Solve for x
    x = 2,098,001,608,704/674,197.50
  6. Step 6: Final answer
    x = 3,111,850.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.