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Finding the Third Proportional to 619,206.75 and 871,978.78

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Solution

The third proportional to 619,206.75 and 871,978.78 is: 1,227,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,206.75 : 871,978.78 = 871,978.78 : x
  2. Step 2: Convert to fraction form
    619,206.75/871,978.78 = 871,978.78/x
  3. Step 3: Cross multiply
    619,206.75x = 871,978.78 × 871,978.78
  4. Step 4: Simplify right side
    619,206.75x = 760,346,994,950.24
  5. Step 5: Solve for x
    x = 760,346,994,950.24/619,206.75
  6. Step 6: Final answer
    x = 1,227,937.19

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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.