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Finding the Third Proportional to 871,548.75 and 1,188,204.75

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Solution

The third proportional to 871,548.75 and 1,188,204.75 is: 1,619,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,548.75 : 1,188,204.75 = 1,188,204.75 : x
  2. Step 2: Convert to fraction form
    871,548.75/1,188,204.75 = 1,188,204.75/x
  3. Step 3: Cross multiply
    871,548.75x = 1,188,204.75 × 1,188,204.75
  4. Step 4: Simplify right side
    871,548.75x = 1,411,830,527,922.56
  5. Step 5: Solve for x
    x = 1,411,830,527,922.56/871,548.75
  6. Step 6: Final answer
    x = 1,619,909.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.