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Finding the Third Proportional to 534,468 and 859,626

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Solution

The third proportional to 534,468 and 859,626 is: 1,382,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,468 : 859,626 = 859,626 : x
  2. Step 2: Convert to fraction form
    534,468/859,626 = 859,626/x
  3. Step 3: Cross multiply
    534,468x = 859,626 × 859,626
  4. Step 4: Simplify right side
    534,468x = 738,956,859,876
  5. Step 5: Solve for x
    x = 738,956,859,876/534,468
  6. Step 6: Final answer
    x = 1,382,602.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.