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Finding the Third Proportional to 871,847.44 and 1,847,410.31

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Solution

The third proportional to 871,847.44 and 1,847,410.31 is: 3,914,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,847.44 : 1,847,410.31 = 1,847,410.31 : x
  2. Step 2: Convert to fraction form
    871,847.44/1,847,410.31 = 1,847,410.31/x
  3. Step 3: Cross multiply
    871,847.44x = 1,847,410.31 × 1,847,410.31
  4. Step 4: Simplify right side
    871,847.44x = 3,412,924,862,731.35
  5. Step 5: Solve for x
    x = 3,412,924,862,731.35/871,847.44
  6. Step 6: Final answer
    x = 3,914,589.54

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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.