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Finding the Third Proportional to 1,279,569 and 2,705,910

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Solution

The third proportional to 1,279,569 and 2,705,910 is: 5,722,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,569 : 2,705,910 = 2,705,910 : x
  2. Step 2: Convert to fraction form
    1,279,569/2,705,910 = 2,705,910/x
  3. Step 3: Cross multiply
    1,279,569x = 2,705,910 × 2,705,910
  4. Step 4: Simplify right side
    1,279,569x = 7,321,948,928,100
  5. Step 5: Solve for x
    x = 7,321,948,928,100/1,279,569
  6. Step 6: Final answer
    x = 5,722,199.37

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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.