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Finding the Third Proportional to 871,398 and 1,914,624

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Solution

The third proportional to 871,398 and 1,914,624 is: 4,206,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,398 : 1,914,624 = 1,914,624 : x
  2. Step 2: Convert to fraction form
    871,398/1,914,624 = 1,914,624/x
  3. Step 3: Cross multiply
    871,398x = 1,914,624 × 1,914,624
  4. Step 4: Simplify right side
    871,398x = 3,665,785,061,376
  5. Step 5: Solve for x
    x = 3,665,785,061,376/871,398
  6. Step 6: Final answer
    x = 4,206,786.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.