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Finding the Third Proportional to 674,197.88 and 1,448,449.31

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Solution

The third proportional to 674,197.88 and 1,448,449.31 is: 3,111,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,197.88 : 1,448,449.31 = 1,448,449.31 : x
  2. Step 2: Convert to fraction form
    674,197.88/1,448,449.31 = 1,448,449.31/x
  3. Step 3: Cross multiply
    674,197.88x = 1,448,449.31 × 1,448,449.31
  4. Step 4: Simplify right side
    674,197.88x = 2,098,005,410,881.72
  5. Step 5: Solve for x
    x = 2,098,005,410,881.72/674,197.88
  6. Step 6: Final answer
    x = 3,111,854.08

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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.