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Finding the Third Proportional to 534,036 and 826,622

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Solution

The third proportional to 534,036 and 826,622 is: 1,279,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,036 : 826,622 = 826,622 : x
  2. Step 2: Convert to fraction form
    534,036/826,622 = 826,622/x
  3. Step 3: Cross multiply
    534,036x = 826,622 × 826,622
  4. Step 4: Simplify right side
    534,036x = 683,303,930,884
  5. Step 5: Solve for x
    x = 683,303,930,884/534,036
  6. Step 6: Final answer
    x = 1,279,509.12

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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.