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Finding the Third Proportional to 412,212 and 894,924

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Solution

The third proportional to 412,212 and 894,924 is: 1,942,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,212 : 894,924 = 894,924 : x
  2. Step 2: Convert to fraction form
    412,212/894,924 = 894,924/x
  3. Step 3: Cross multiply
    412,212x = 894,924 × 894,924
  4. Step 4: Simplify right side
    412,212x = 800,888,965,776
  5. Step 5: Solve for x
    x = 800,888,965,776/412,212
  6. Step 6: Final answer
    x = 1,942,905.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.