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Finding the Third Proportional to 681,183 and 1,445,400

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Solution

The third proportional to 681,183 and 1,445,400 is: 3,066,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,183 : 1,445,400 = 1,445,400 : x
  2. Step 2: Convert to fraction form
    681,183/1,445,400 = 1,445,400/x
  3. Step 3: Cross multiply
    681,183x = 1,445,400 × 1,445,400
  4. Step 4: Simplify right side
    681,183x = 2,089,181,160,000
  5. Step 5: Solve for x
    x = 2,089,181,160,000/681,183
  6. Step 6: Final answer
    x = 3,066,989.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.