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Finding the Third Proportional to 534,028 and 826,611

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Solution

The third proportional to 534,028 and 826,611 is: 1,279,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,028 : 826,611 = 826,611 : x
  2. Step 2: Convert to fraction form
    534,028/826,611 = 826,611/x
  3. Step 3: Cross multiply
    534,028x = 826,611 × 826,611
  4. Step 4: Simplify right side
    534,028x = 683,285,745,321
  5. Step 5: Solve for x
    x = 683,285,745,321/534,028
  6. Step 6: Final answer
    x = 1,279,494.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.