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Finding the Third Proportional to 1,238,314 and 2,529,107

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Solution

The third proportional to 1,238,314 and 2,529,107 is: 5,165,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,314 : 2,529,107 = 2,529,107 : x
  2. Step 2: Convert to fraction form
    1,238,314/2,529,107 = 2,529,107/x
  3. Step 3: Cross multiply
    1,238,314x = 2,529,107 × 2,529,107
  4. Step 4: Simplify right side
    1,238,314x = 6,396,382,217,449
  5. Step 5: Solve for x
    x = 6,396,382,217,449/1,238,314
  6. Step 6: Final answer
    x = 5,165,396.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.