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Finding the Third Proportional to 1,149,824 and 2,418,811

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Solution

The third proportional to 1,149,824 and 2,418,811 is: 5,088,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,824 : 2,418,811 = 2,418,811 : x
  2. Step 2: Convert to fraction form
    1,149,824/2,418,811 = 2,418,811/x
  3. Step 3: Cross multiply
    1,149,824x = 2,418,811 × 2,418,811
  4. Step 4: Simplify right side
    1,149,824x = 5,850,646,653,721
  5. Step 5: Solve for x
    x = 5,850,646,653,721/1,149,824
  6. Step 6: Final answer
    x = 5,088,297.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.