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Finding the Third Proportional to 2,224,954 and 4,764,836

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Solution

The third proportional to 2,224,954 and 4,764,836 is: 10,204,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,954 : 4,764,836 = 4,764,836 : x
  2. Step 2: Convert to fraction form
    2,224,954/4,764,836 = 4,764,836/x
  3. Step 3: Cross multiply
    2,224,954x = 4,764,836 × 4,764,836
  4. Step 4: Simplify right side
    2,224,954x = 22,703,662,106,896
  5. Step 5: Solve for x
    x = 22,703,662,106,896/2,224,954
  6. Step 6: Final answer
    x = 10,204,104.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.