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Finding the Third Proportional to 2,561,814 and 5,519,502

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Solution

The third proportional to 2,561,814 and 5,519,502 is: 11,891,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,814 : 5,519,502 = 5,519,502 : x
  2. Step 2: Convert to fraction form
    2,561,814/5,519,502 = 5,519,502/x
  3. Step 3: Cross multiply
    2,561,814x = 5,519,502 × 5,519,502
  4. Step 4: Simplify right side
    2,561,814x = 30,464,902,328,004
  5. Step 5: Solve for x
    x = 30,464,902,328,004/2,561,814
  6. Step 6: Final answer
    x = 11,891,925.93

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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.