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Finding the Third Proportional to 681,523.88 and 1,069,200

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Solution

The third proportional to 681,523.88 and 1,069,200 is: 1,677,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,523.88 : 1,069,200 = 1,069,200 : x
  2. Step 2: Convert to fraction form
    681,523.88/1,069,200 = 1,069,200/x
  3. Step 3: Cross multiply
    681,523.88x = 1,069,200 × 1,069,200
  4. Step 4: Simplify right side
    681,523.88x = 1,143,188,640,000
  5. Step 5: Solve for x
    x = 1,143,188,640,000/681,523.88
  6. Step 6: Final answer
    x = 1,677,400.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.