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Finding the Third Proportional to 534,189 and 826,032

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Solution

The third proportional to 534,189 and 826,032 is: 1,277,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,189 : 826,032 = 826,032 : x
  2. Step 2: Convert to fraction form
    534,189/826,032 = 826,032/x
  3. Step 3: Cross multiply
    534,189x = 826,032 × 826,032
  4. Step 4: Simplify right side
    534,189x = 682,328,865,024
  5. Step 5: Solve for x
    x = 682,328,865,024/534,189
  6. Step 6: Final answer
    x = 1,277,317.33

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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.