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Finding the Third Proportional to 681,880 and 1,434,230

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Solution

The third proportional to 681,880 and 1,434,230 is: 3,016,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,880 : 1,434,230 = 1,434,230 : x
  2. Step 2: Convert to fraction form
    681,880/1,434,230 = 1,434,230/x
  3. Step 3: Cross multiply
    681,880x = 1,434,230 × 1,434,230
  4. Step 4: Simplify right side
    681,880x = 2,057,015,692,900
  5. Step 5: Solve for x
    x = 2,057,015,692,900/681,880
  6. Step 6: Final answer
    x = 3,016,682.84

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