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Finding the Third Proportional to 998,730 and 2,184,305

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Solution

The third proportional to 998,730 and 2,184,305 is: 4,777,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,730 : 2,184,305 = 2,184,305 : x
  2. Step 2: Convert to fraction form
    998,730/2,184,305 = 2,184,305/x
  3. Step 3: Cross multiply
    998,730x = 2,184,305 × 2,184,305
  4. Step 4: Simplify right side
    998,730x = 4,771,188,333,025
  5. Step 5: Solve for x
    x = 4,771,188,333,025/998,730
  6. Step 6: Final answer
    x = 4,777,255.45

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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.