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Finding the Third Proportional to 568,696 and 1,202,624

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Solution

The third proportional to 568,696 and 1,202,624 is: 2,543,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,696 : 1,202,624 = 1,202,624 : x
  2. Step 2: Convert to fraction form
    568,696/1,202,624 = 1,202,624/x
  3. Step 3: Cross multiply
    568,696x = 1,202,624 × 1,202,624
  4. Step 4: Simplify right side
    568,696x = 1,446,304,485,376
  5. Step 5: Solve for x
    x = 1,446,304,485,376/568,696
  6. Step 6: Final answer
    x = 2,543,194.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.