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Finding the Third Proportional to 2,563,233 and 5,457,756

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Solution

The third proportional to 2,563,233 and 5,457,756 is: 11,620,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,233 : 5,457,756 = 5,457,756 : x
  2. Step 2: Convert to fraction form
    2,563,233/5,457,756 = 5,457,756/x
  3. Step 3: Cross multiply
    2,563,233x = 5,457,756 × 5,457,756
  4. Step 4: Simplify right side
    2,563,233x = 29,787,100,555,536
  5. Step 5: Solve for x
    x = 29,787,100,555,536/2,563,233
  6. Step 6: Final answer
    x = 11,620,910.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.