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Finding the Third Proportional to 534,034 and 826,621

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Solution

The third proportional to 534,034 and 826,621 is: 1,279,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,034 : 826,621 = 826,621 : x
  2. Step 2: Convert to fraction form
    534,034/826,621 = 826,621/x
  3. Step 3: Cross multiply
    534,034x = 826,621 × 826,621
  4. Step 4: Simplify right side
    534,034x = 683,302,277,641
  5. Step 5: Solve for x
    x = 683,302,277,641/534,034
  6. Step 6: Final answer
    x = 1,279,510.81

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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.