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Finding the Third Proportional to 1,251,846 and 2,703,249

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Solution

The third proportional to 1,251,846 and 2,703,249 is: 5,837,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,846 : 2,703,249 = 2,703,249 : x
  2. Step 2: Convert to fraction form
    1,251,846/2,703,249 = 2,703,249/x
  3. Step 3: Cross multiply
    1,251,846x = 2,703,249 × 2,703,249
  4. Step 4: Simplify right side
    1,251,846x = 7,307,555,156,001
  5. Step 5: Solve for x
    x = 7,307,555,156,001/1,251,846
  6. Step 6: Final answer
    x = 5,837,423.42

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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.