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Finding the Third Proportional to 587,778 and 827,722

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Solution

The third proportional to 587,778 and 827,722 is: 1,165,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,778 : 827,722 = 827,722 : x
  2. Step 2: Convert to fraction form
    587,778/827,722 = 827,722/x
  3. Step 3: Cross multiply
    587,778x = 827,722 × 827,722
  4. Step 4: Simplify right side
    587,778x = 685,123,709,284
  5. Step 5: Solve for x
    x = 685,123,709,284/587,778
  6. Step 6: Final answer
    x = 1,165,616.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.