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Finding the Third Proportional to 976,863 and 2,082,759

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Solution

The third proportional to 976,863 and 2,082,759 is: 4,440,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,863 : 2,082,759 = 2,082,759 : x
  2. Step 2: Convert to fraction form
    976,863/2,082,759 = 2,082,759/x
  3. Step 3: Cross multiply
    976,863x = 2,082,759 × 2,082,759
  4. Step 4: Simplify right side
    976,863x = 4,337,885,052,081
  5. Step 5: Solve for x
    x = 4,337,885,052,081/976,863
  6. Step 6: Final answer
    x = 4,440,627.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.