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Finding the Third Proportional to 681,311.25 and 1,433,168.44

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Solution

The third proportional to 681,311.25 and 1,433,168.44 is: 3,014,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,311.25 : 1,433,168.44 = 1,433,168.44 : x
  2. Step 2: Convert to fraction form
    681,311.25/1,433,168.44 = 1,433,168.44/x
  3. Step 3: Cross multiply
    681,311.25x = 1,433,168.44 × 1,433,168.44
  4. Step 4: Simplify right side
    681,311.25x = 2,053,971,770,246.19
  5. Step 5: Solve for x
    x = 2,053,971,770,246.19/681,311.25
  6. Step 6: Final answer
    x = 3,014,733.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.