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Finding the Third Proportional to 568,821 and 1,216,374

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Solution

The third proportional to 568,821 and 1,216,374 is: 2,601,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,821 : 1,216,374 = 1,216,374 : x
  2. Step 2: Convert to fraction form
    568,821/1,216,374 = 1,216,374/x
  3. Step 3: Cross multiply
    568,821x = 1,216,374 × 1,216,374
  4. Step 4: Simplify right side
    568,821x = 1,479,565,707,876
  5. Step 5: Solve for x
    x = 1,479,565,707,876/568,821
  6. Step 6: Final answer
    x = 2,601,109.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.