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Finding the Third Proportional to 2,561,820 and 5,519,514

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Solution

The third proportional to 2,561,820 and 5,519,514 is: 11,891,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,820 : 5,519,514 = 5,519,514 : x
  2. Step 2: Convert to fraction form
    2,561,820/5,519,514 = 5,519,514/x
  3. Step 3: Cross multiply
    2,561,820x = 5,519,514 × 5,519,514
  4. Step 4: Simplify right side
    2,561,820x = 30,465,034,796,196
  5. Step 5: Solve for x
    x = 30,465,034,796,196/2,561,820
  6. Step 6: Final answer
    x = 11,891,949.78

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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.