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Finding the Third Proportional to 682,852 and 906,126

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Solution

The third proportional to 682,852 and 906,126 is: 1,202,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,852 : 906,126 = 906,126 : x
  2. Step 2: Convert to fraction form
    682,852/906,126 = 906,126/x
  3. Step 3: Cross multiply
    682,852x = 906,126 × 906,126
  4. Step 4: Simplify right side
    682,852x = 821,064,327,876
  5. Step 5: Solve for x
    x = 821,064,327,876/682,852
  6. Step 6: Final answer
    x = 1,202,404.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.