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Finding the Third Proportional to 871,419 and 1,914,666

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Solution

The third proportional to 871,419 and 1,914,666 is: 4,206,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,419 : 1,914,666 = 1,914,666 : x
  2. Step 2: Convert to fraction form
    871,419/1,914,666 = 1,914,666/x
  3. Step 3: Cross multiply
    871,419x = 1,914,666 × 1,914,666
  4. Step 4: Simplify right side
    871,419x = 3,665,945,891,556
  5. Step 5: Solve for x
    x = 3,665,945,891,556/871,419
  6. Step 6: Final answer
    x = 4,206,869.36

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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.