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Finding the Third Proportional to 585,800 and 1,269,286

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Solution

The third proportional to 585,800 and 1,269,286 is: 2,750,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,800 : 1,269,286 = 1,269,286 : x
  2. Step 2: Convert to fraction form
    585,800/1,269,286 = 1,269,286/x
  3. Step 3: Cross multiply
    585,800x = 1,269,286 × 1,269,286
  4. Step 4: Simplify right side
    585,800x = 1,611,086,949,796
  5. Step 5: Solve for x
    x = 1,611,086,949,796/585,800
  6. Step 6: Final answer
    x = 2,750,233.78

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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.