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Finding the Third Proportional to 383,871 and 826,062

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Solution

The third proportional to 383,871 and 826,062 is: 1,777,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,871 : 826,062 = 826,062 : x
  2. Step 2: Convert to fraction form
    383,871/826,062 = 826,062/x
  3. Step 3: Cross multiply
    383,871x = 826,062 × 826,062
  4. Step 4: Simplify right side
    383,871x = 682,378,427,844
  5. Step 5: Solve for x
    x = 682,378,427,844/383,871
  6. Step 6: Final answer
    x = 1,777,624.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.