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Finding the Third Proportional to 871,836.75 and 1,847,383.88

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Solution

The third proportional to 871,836.75 and 1,847,383.88 is: 3,914,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,836.75 : 1,847,383.88 = 1,847,383.88 : x
  2. Step 2: Convert to fraction form
    871,836.75/1,847,383.88 = 1,847,383.88/x
  3. Step 3: Cross multiply
    871,836.75x = 1,847,383.88 × 1,847,383.88
  4. Step 4: Simplify right side
    871,836.75x = 3,412,827,181,610.02
  5. Step 5: Solve for x
    x = 3,412,827,181,610.02/871,836.75
  6. Step 6: Final answer
    x = 3,914,525.49

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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.