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Finding the Third Proportional to 2,757,488 and 5,832,912

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Solution

The third proportional to 2,757,488 and 5,832,912 is: 12,338,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757,488 : 5,832,912 = 5,832,912 : x
  2. Step 2: Convert to fraction form
    2,757,488/5,832,912 = 5,832,912/x
  3. Step 3: Cross multiply
    2,757,488x = 5,832,912 × 5,832,912
  4. Step 4: Simplify right side
    2,757,488x = 34,022,862,399,744
  5. Step 5: Solve for x
    x = 34,022,862,399,744/2,757,488
  6. Step 6: Final answer
    x = 12,338,353.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.