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Finding the Third Proportional to 381,310 and 821,719

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Solution

The third proportional to 381,310 and 821,719 is: 1,770,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,310 : 821,719 = 821,719 : x
  2. Step 2: Convert to fraction form
    381,310/821,719 = 821,719/x
  3. Step 3: Cross multiply
    381,310x = 821,719 × 821,719
  4. Step 4: Simplify right side
    381,310x = 675,222,114,961
  5. Step 5: Solve for x
    x = 675,222,114,961/381,310
  6. Step 6: Final answer
    x = 1,770,795.72

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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.