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Finding the Third Proportional to 857,049 and 1,882,218

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Solution

The third proportional to 857,049 and 1,882,218 is: 4,133,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,049 : 1,882,218 = 1,882,218 : x
  2. Step 2: Convert to fraction form
    857,049/1,882,218 = 1,882,218/x
  3. Step 3: Cross multiply
    857,049x = 1,882,218 × 1,882,218
  4. Step 4: Simplify right side
    857,049x = 3,542,744,599,524
  5. Step 5: Solve for x
    x = 3,542,744,599,524/857,049
  6. Step 6: Final answer
    x = 4,133,654.67

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Why These Related Problems?

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