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Finding the Third Proportional to 2,231,744 and 4,880,800

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Solution

The third proportional to 2,231,744 and 4,880,800 is: 10,674,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,744 : 4,880,800 = 4,880,800 : x
  2. Step 2: Convert to fraction form
    2,231,744/4,880,800 = 4,880,800/x
  3. Step 3: Cross multiply
    2,231,744x = 4,880,800 × 4,880,800
  4. Step 4: Simplify right side
    2,231,744x = 23,822,208,640,000
  5. Step 5: Solve for x
    x = 23,822,208,640,000/2,231,744
  6. Step 6: Final answer
    x = 10,674,256.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.