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Finding the Third Proportional to 534,034 and 826,619

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Solution

The third proportional to 534,034 and 826,619 is: 1,279,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,034 : 826,619 = 826,619 : x
  2. Step 2: Convert to fraction form
    534,034/826,619 = 826,619/x
  3. Step 3: Cross multiply
    534,034x = 826,619 × 826,619
  4. Step 4: Simplify right side
    534,034x = 683,298,971,161
  5. Step 5: Solve for x
    x = 683,298,971,161/534,034
  6. Step 6: Final answer
    x = 1,279,504.62

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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.