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Finding the Third Proportional to 412,945 and 914,327

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Solution

The third proportional to 412,945 and 914,327 is: 2,024,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,945 : 914,327 = 914,327 : x
  2. Step 2: Convert to fraction form
    412,945/914,327 = 914,327/x
  3. Step 3: Cross multiply
    412,945x = 914,327 × 914,327
  4. Step 4: Simplify right side
    412,945x = 835,993,862,929
  5. Step 5: Solve for x
    x = 835,993,862,929/412,945
  6. Step 6: Final answer
    x = 2,024,467.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.