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Finding the Third Proportional to 534,190 and 826,034

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Solution

The third proportional to 534,190 and 826,034 is: 1,277,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,190 : 826,034 = 826,034 : x
  2. Step 2: Convert to fraction form
    534,190/826,034 = 826,034/x
  3. Step 3: Cross multiply
    534,190x = 826,034 × 826,034
  4. Step 4: Simplify right side
    534,190x = 682,332,169,156
  5. Step 5: Solve for x
    x = 682,332,169,156/534,190
  6. Step 6: Final answer
    x = 1,277,321.12

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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.