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Finding the Third Proportional to 522,074 and 1,105,924

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Solution

The third proportional to 522,074 and 1,105,924 is: 2,342,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,074 : 1,105,924 = 1,105,924 : x
  2. Step 2: Convert to fraction form
    522,074/1,105,924 = 1,105,924/x
  3. Step 3: Cross multiply
    522,074x = 1,105,924 × 1,105,924
  4. Step 4: Simplify right side
    522,074x = 1,223,067,893,776
  5. Step 5: Solve for x
    x = 1,223,067,893,776/522,074
  6. Step 6: Final answer
    x = 2,342,709.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.