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Finding the Third Proportional to 794,198.25 and 1,198,617.75

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Solution

The third proportional to 794,198.25 and 1,198,617.75 is: 1,808,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,198.25 : 1,198,617.75 = 1,198,617.75 : x
  2. Step 2: Convert to fraction form
    794,198.25/1,198,617.75 = 1,198,617.75/x
  3. Step 3: Cross multiply
    794,198.25x = 1,198,617.75 × 1,198,617.75
  4. Step 4: Simplify right side
    794,198.25x = 1,436,684,510,615.06
  5. Step 5: Solve for x
    x = 1,436,684,510,615.06/794,198.25
  6. Step 6: Final answer
    x = 1,808,974.66

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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.