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Finding the Third Proportional to 1,172,619 and 2,569,662

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Solution

The third proportional to 1,172,619 and 2,569,662 is: 5,631,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,619 : 2,569,662 = 2,569,662 : x
  2. Step 2: Convert to fraction form
    1,172,619/2,569,662 = 2,569,662/x
  3. Step 3: Cross multiply
    1,172,619x = 2,569,662 × 2,569,662
  4. Step 4: Simplify right side
    1,172,619x = 6,603,162,794,244
  5. Step 5: Solve for x
    x = 6,603,162,794,244/1,172,619
  6. Step 6: Final answer
    x = 5,631,123.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.