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Finding the Third Proportional to 2,753,564 and 5,964,766

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Solution

The third proportional to 2,753,564 and 5,964,766 is: 12,920,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753,564 : 5,964,766 = 5,964,766 : x
  2. Step 2: Convert to fraction form
    2,753,564/5,964,766 = 5,964,766/x
  3. Step 3: Cross multiply
    2,753,564x = 5,964,766 × 5,964,766
  4. Step 4: Simplify right side
    2,753,564x = 35,578,433,434,756
  5. Step 5: Solve for x
    x = 35,578,433,434,756/2,753,564
  6. Step 6: Final answer
    x = 12,920,866.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.