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Finding the Third Proportional to 619,209.56 and 871,983.67

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Solution

The third proportional to 619,209.56 and 871,983.67 is: 1,227,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,209.56 : 871,983.67 = 871,983.67 : x
  2. Step 2: Convert to fraction form
    619,209.56/871,983.67 = 871,983.67/x
  3. Step 3: Cross multiply
    619,209.56x = 871,983.67 × 871,983.67
  4. Step 4: Simplify right side
    619,209.56x = 760,355,517,204.24
  5. Step 5: Solve for x
    x = 760,355,517,204.24/619,209.56
  6. Step 6: Final answer
    x = 1,227,945.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.