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Finding the Third Proportional to 568,074 and 1,236,372

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Solution

The third proportional to 568,074 and 1,236,372 is: 2,690,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,074 : 1,236,372 = 1,236,372 : x
  2. Step 2: Convert to fraction form
    568,074/1,236,372 = 1,236,372/x
  3. Step 3: Cross multiply
    568,074x = 1,236,372 × 1,236,372
  4. Step 4: Simplify right side
    568,074x = 1,528,615,722,384
  5. Step 5: Solve for x
    x = 1,528,615,722,384/568,074
  6. Step 6: Final answer
    x = 2,690,874.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.