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Finding the Third Proportional to 681,876 and 1,043,577

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Solution

The third proportional to 681,876 and 1,043,577 is: 1,597,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,876 : 1,043,577 = 1,043,577 : x
  2. Step 2: Convert to fraction form
    681,876/1,043,577 = 1,043,577/x
  3. Step 3: Cross multiply
    681,876x = 1,043,577 × 1,043,577
  4. Step 4: Simplify right side
    681,876x = 1,089,052,954,929
  5. Step 5: Solve for x
    x = 1,089,052,954,929/681,876
  6. Step 6: Final answer
    x = 1,597,142.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.