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Finding the Third Proportional to 568,212 and 1,262,538

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Solution

The third proportional to 568,212 and 1,262,538 is: 2,805,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,212 : 1,262,538 = 1,262,538 : x
  2. Step 2: Convert to fraction form
    568,212/1,262,538 = 1,262,538/x
  3. Step 3: Cross multiply
    568,212x = 1,262,538 × 1,262,538
  4. Step 4: Simplify right side
    568,212x = 1,594,002,201,444
  5. Step 5: Solve for x
    x = 1,594,002,201,444/568,212
  6. Step 6: Final answer
    x = 2,805,294.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.