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Finding the Third Proportional to 691,877 and 1,519,962

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Solution

The third proportional to 691,877 and 1,519,962 is: 3,339,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,877 : 1,519,962 = 1,519,962 : x
  2. Step 2: Convert to fraction form
    691,877/1,519,962 = 1,519,962/x
  3. Step 3: Cross multiply
    691,877x = 1,519,962 × 1,519,962
  4. Step 4: Simplify right side
    691,877x = 2,310,284,481,444
  5. Step 5: Solve for x
    x = 2,310,284,481,444/691,877
  6. Step 6: Final answer
    x = 3,339,154.91

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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.