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Finding the Third Proportional to 534,192 and 826,037

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Solution

The third proportional to 534,192 and 826,037 is: 1,277,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,192 : 826,037 = 826,037 : x
  2. Step 2: Convert to fraction form
    534,192/826,037 = 826,037/x
  3. Step 3: Cross multiply
    534,192x = 826,037 × 826,037
  4. Step 4: Simplify right side
    534,192x = 682,337,125,369
  5. Step 5: Solve for x
    x = 682,337,125,369/534,192
  6. Step 6: Final answer
    x = 1,277,325.62

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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.