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Finding the Third Proportional to 214,118 and 461,122

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Solution

The third proportional to 214,118 and 461,122 is: 993,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,118 : 461,122 = 461,122 : x
  2. Step 2: Convert to fraction form
    214,118/461,122 = 461,122/x
  3. Step 3: Cross multiply
    214,118x = 461,122 × 461,122
  4. Step 4: Simplify right side
    214,118x = 212,633,498,884
  5. Step 5: Solve for x
    x = 212,633,498,884/214,118
  6. Step 6: Final answer
    x = 993,066.90

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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.