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Finding the Third Proportional to 376,918 and 821,610

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Solution

The third proportional to 376,918 and 821,610 is: 1,790,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,918 : 821,610 = 821,610 : x
  2. Step 2: Convert to fraction form
    376,918/821,610 = 821,610/x
  3. Step 3: Cross multiply
    376,918x = 821,610 × 821,610
  4. Step 4: Simplify right side
    376,918x = 675,042,992,100
  5. Step 5: Solve for x
    x = 675,042,992,100/376,918
  6. Step 6: Final answer
    x = 1,790,954.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.