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Finding the Third Proportional to 376,817 and 819,082

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Solution

The third proportional to 376,817 and 819,082 is: 1,780,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,817 : 819,082 = 819,082 : x
  2. Step 2: Convert to fraction form
    376,817/819,082 = 819,082/x
  3. Step 3: Cross multiply
    376,817x = 819,082 × 819,082
  4. Step 4: Simplify right side
    376,817x = 670,895,322,724
  5. Step 5: Solve for x
    x = 670,895,322,724/376,817
  6. Step 6: Final answer
    x = 1,780,427.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.