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Finding the Third Proportional to 2,100,800 and 4,581,824

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Solution

The third proportional to 2,100,800 and 4,581,824 is: 9,992,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,800 : 4,581,824 = 4,581,824 : x
  2. Step 2: Convert to fraction form
    2,100,800/4,581,824 = 4,581,824/x
  3. Step 3: Cross multiply
    2,100,800x = 4,581,824 × 4,581,824
  4. Step 4: Simplify right side
    2,100,800x = 20,993,111,166,976
  5. Step 5: Solve for x
    x = 20,993,111,166,976/2,100,800
  6. Step 6: Final answer
    x = 9,992,912.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.