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Finding the Third Proportional to 681,878 and 1,043,580

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Solution

The third proportional to 681,878 and 1,043,580 is: 1,597,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,878 : 1,043,580 = 1,043,580 : x
  2. Step 2: Convert to fraction form
    681,878/1,043,580 = 1,043,580/x
  3. Step 3: Cross multiply
    681,878x = 1,043,580 × 1,043,580
  4. Step 4: Simplify right side
    681,878x = 1,089,059,216,400
  5. Step 5: Solve for x
    x = 1,089,059,216,400/681,878
  6. Step 6: Final answer
    x = 1,597,146.73

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