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Finding the Third Proportional to 2,561,824 and 5,519,522

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Solution

The third proportional to 2,561,824 and 5,519,522 is: 11,891,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,824 : 5,519,522 = 5,519,522 : x
  2. Step 2: Convert to fraction form
    2,561,824/5,519,522 = 5,519,522/x
  3. Step 3: Cross multiply
    2,561,824x = 5,519,522 × 5,519,522
  4. Step 4: Simplify right side
    2,561,824x = 30,465,123,108,484
  5. Step 5: Solve for x
    x = 30,465,123,108,484/2,561,824
  6. Step 6: Final answer
    x = 11,891,965.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.