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Finding the Third Proportional to 534,194 and 826,040

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Solution

The third proportional to 534,194 and 826,040 is: 1,277,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,194 : 826,040 = 826,040 : x
  2. Step 2: Convert to fraction form
    534,194/826,040 = 826,040/x
  3. Step 3: Cross multiply
    534,194x = 826,040 × 826,040
  4. Step 4: Simplify right side
    534,194x = 682,342,081,600
  5. Step 5: Solve for x
    x = 682,342,081,600/534,194
  6. Step 6: Final answer
    x = 1,277,330.11

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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.