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Finding the Third Proportional to 619,221 and 871,998

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Solution

The third proportional to 619,221 and 871,998 is: 1,227,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,221 : 871,998 = 871,998 : x
  2. Step 2: Convert to fraction form
    619,221/871,998 = 871,998/x
  3. Step 3: Cross multiply
    619,221x = 871,998 × 871,998
  4. Step 4: Simplify right side
    619,221x = 760,380,512,004
  5. Step 5: Solve for x
    x = 760,380,512,004/619,221
  6. Step 6: Final answer
    x = 1,227,963.06

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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.