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Finding the Third Proportional to 725,736.25 and 1,537,993.50

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Solution

The third proportional to 725,736.25 and 1,537,993.50 is: 3,259,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,736.25 : 1,537,993.50 = 1,537,993.50 : x
  2. Step 2: Convert to fraction form
    725,736.25/1,537,993.50 = 1,537,993.50/x
  3. Step 3: Cross multiply
    725,736.25x = 1,537,993.50 × 1,537,993.50
  4. Step 4: Simplify right side
    725,736.25x = 2,365,424,006,042.25
  5. Step 5: Solve for x
    x = 2,365,424,006,042.25/725,736.25
  6. Step 6: Final answer
    x = 3,259,343.88

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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.