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Finding the Third Proportional to 681,096 and 1,481,904

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Solution

The third proportional to 681,096 and 1,481,904 is: 3,224,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,096 : 1,481,904 = 1,481,904 : x
  2. Step 2: Convert to fraction form
    681,096/1,481,904 = 1,481,904/x
  3. Step 3: Cross multiply
    681,096x = 1,481,904 × 1,481,904
  4. Step 4: Simplify right side
    681,096x = 2,196,039,465,216
  5. Step 5: Solve for x
    x = 2,196,039,465,216/681,096
  6. Step 6: Final answer
    x = 3,224,273.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.