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Finding the Third Proportional to 568,304 and 1,206,660

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Solution

The third proportional to 568,304 and 1,206,660 is: 2,562,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,304 : 1,206,660 = 1,206,660 : x
  2. Step 2: Convert to fraction form
    568,304/1,206,660 = 1,206,660/x
  3. Step 3: Cross multiply
    568,304x = 1,206,660 × 1,206,660
  4. Step 4: Simplify right side
    568,304x = 1,456,028,355,600
  5. Step 5: Solve for x
    x = 1,456,028,355,600/568,304
  6. Step 6: Final answer
    x = 2,562,058.96

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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.