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Finding the Third Proportional to 1,229,814 and 2,701,753

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Solution

The third proportional to 1,229,814 and 2,701,753 is: 5,935,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,814 : 2,701,753 = 2,701,753 : x
  2. Step 2: Convert to fraction form
    1,229,814/2,701,753 = 2,701,753/x
  3. Step 3: Cross multiply
    1,229,814x = 2,701,753 × 2,701,753
  4. Step 4: Simplify right side
    1,229,814x = 7,299,469,273,009
  5. Step 5: Solve for x
    x = 7,299,469,273,009/1,229,814
  6. Step 6: Final answer
    x = 5,935,425.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.