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Finding the Third Proportional to 2,072,100 and 4,246,912

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Solution

The third proportional to 2,072,100 and 4,246,912 is: 8,704,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,100 : 4,246,912 = 4,246,912 : x
  2. Step 2: Convert to fraction form
    2,072,100/4,246,912 = 4,246,912/x
  3. Step 3: Cross multiply
    2,072,100x = 4,246,912 × 4,246,912
  4. Step 4: Simplify right side
    2,072,100x = 18,036,261,535,744
  5. Step 5: Solve for x
    x = 18,036,261,535,744/2,072,100
  6. Step 6: Final answer
    x = 8,704,339.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.