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Finding the Third Proportional to 683,820 and 1,467,327

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Solution

The third proportional to 683,820 and 1,467,327 is: 3,148,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,820 : 1,467,327 = 1,467,327 : x
  2. Step 2: Convert to fraction form
    683,820/1,467,327 = 1,467,327/x
  3. Step 3: Cross multiply
    683,820x = 1,467,327 × 1,467,327
  4. Step 4: Simplify right side
    683,820x = 2,153,048,524,929
  5. Step 5: Solve for x
    x = 2,153,048,524,929/683,820
  6. Step 6: Final answer
    x = 3,148,560.33

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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.