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Finding the Third Proportional to 568,399 and 1,215,569

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Solution

The third proportional to 568,399 and 1,215,569 is: 2,599,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,399 : 1,215,569 = 1,215,569 : x
  2. Step 2: Convert to fraction form
    568,399/1,215,569 = 1,215,569/x
  3. Step 3: Cross multiply
    568,399x = 1,215,569 × 1,215,569
  4. Step 4: Simplify right side
    568,399x = 1,477,607,993,761
  5. Step 5: Solve for x
    x = 1,477,607,993,761/568,399
  6. Step 6: Final answer
    x = 2,599,596.40

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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.