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Finding the Third Proportional to 998,699 and 2,184,229

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Solution

The third proportional to 998,699 and 2,184,229 is: 4,777,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,699 : 2,184,229 = 2,184,229 : x
  2. Step 2: Convert to fraction form
    998,699/2,184,229 = 2,184,229/x
  3. Step 3: Cross multiply
    998,699x = 2,184,229 × 2,184,229
  4. Step 4: Simplify right side
    998,699x = 4,770,856,324,441
  5. Step 5: Solve for x
    x = 4,770,856,324,441/998,699
  6. Step 6: Final answer
    x = 4,777,071.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.