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Finding the Third Proportional to 1,299,839 and 2,805,193

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Solution

The third proportional to 1,299,839 and 2,805,193 is: 6,053,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,839 : 2,805,193 = 2,805,193 : x
  2. Step 2: Convert to fraction form
    1,299,839/2,805,193 = 2,805,193/x
  3. Step 3: Cross multiply
    1,299,839x = 2,805,193 × 2,805,193
  4. Step 4: Simplify right side
    1,299,839x = 7,869,107,767,249
  5. Step 5: Solve for x
    x = 7,869,107,767,249/1,299,839
  6. Step 6: Final answer
    x = 6,053,909.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.