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Finding the Third Proportional to 619,218 and 871,993.50

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Solution

The third proportional to 619,218 and 871,993.50 is: 1,227,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,218 : 871,993.50 = 871,993.50 : x
  2. Step 2: Convert to fraction form
    619,218/871,993.50 = 871,993.50/x
  3. Step 3: Cross multiply
    619,218x = 871,993.50 × 871,993.50
  4. Step 4: Simplify right side
    619,218x = 760,372,664,042.25
  5. Step 5: Solve for x
    x = 760,372,664,042.25/619,218
  6. Step 6: Final answer
    x = 1,227,956.33

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