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Finding the Third Proportional to 998,709 and 2,184,225

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Solution

The third proportional to 998,709 and 2,184,225 is: 4,777,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,709 : 2,184,225 = 2,184,225 : x
  2. Step 2: Convert to fraction form
    998,709/2,184,225 = 2,184,225/x
  3. Step 3: Cross multiply
    998,709x = 2,184,225 × 2,184,225
  4. Step 4: Simplify right side
    998,709x = 4,770,838,850,625
  5. Step 5: Solve for x
    x = 4,770,838,850,625/998,709
  6. Step 6: Final answer
    x = 4,777,005.97

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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.