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Finding the Third Proportional to 683,799 and 1,467,285

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Solution

The third proportional to 683,799 and 1,467,285 is: 3,148,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,799 : 1,467,285 = 1,467,285 : x
  2. Step 2: Convert to fraction form
    683,799/1,467,285 = 1,467,285/x
  3. Step 3: Cross multiply
    683,799x = 1,467,285 × 1,467,285
  4. Step 4: Simplify right side
    683,799x = 2,152,925,271,225
  5. Step 5: Solve for x
    x = 2,152,925,271,225/683,799
  6. Step 6: Final answer
    x = 3,148,476.78

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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.