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Finding the Third Proportional to 534,036 and 826,623

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Solution

The third proportional to 534,036 and 826,623 is: 1,279,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,036 : 826,623 = 826,623 : x
  2. Step 2: Convert to fraction form
    534,036/826,623 = 826,623/x
  3. Step 3: Cross multiply
    534,036x = 826,623 × 826,623
  4. Step 4: Simplify right side
    534,036x = 683,305,584,129
  5. Step 5: Solve for x
    x = 683,305,584,129/534,036
  6. Step 6: Final answer
    x = 1,279,512.21

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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.