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Finding the Third Proportional to 817,876 and 1,760,732

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Solution

The third proportional to 817,876 and 1,760,732 is: 3,790,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,876 : 1,760,732 = 1,760,732 : x
  2. Step 2: Convert to fraction form
    817,876/1,760,732 = 1,760,732/x
  3. Step 3: Cross multiply
    817,876x = 1,760,732 × 1,760,732
  4. Step 4: Simplify right side
    817,876x = 3,100,177,175,824
  5. Step 5: Solve for x
    x = 3,100,177,175,824/817,876
  6. Step 6: Final answer
    x = 3,790,522.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.