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Finding the Third Proportional to 794,115.75 and 1,198,577.25

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Solution

The third proportional to 794,115.75 and 1,198,577.25 is: 1,809,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,115.75 : 1,198,577.25 = 1,198,577.25 : x
  2. Step 2: Convert to fraction form
    794,115.75/1,198,577.25 = 1,198,577.25/x
  3. Step 3: Cross multiply
    794,115.75x = 1,198,577.25 × 1,198,577.25
  4. Step 4: Simplify right side
    794,115.75x = 1,436,587,424,217.56
  5. Step 5: Solve for x
    x = 1,436,587,424,217.56/794,115.75
  6. Step 6: Final answer
    x = 1,809,040.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.