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Finding the Third Proportional to 820,904 and 1,763,188

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Solution

The third proportional to 820,904 and 1,763,188 is: 3,787,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,904 : 1,763,188 = 1,763,188 : x
  2. Step 2: Convert to fraction form
    820,904/1,763,188 = 1,763,188/x
  3. Step 3: Cross multiply
    820,904x = 1,763,188 × 1,763,188
  4. Step 4: Simplify right side
    820,904x = 3,108,831,923,344
  5. Step 5: Solve for x
    x = 3,108,831,923,344/820,904
  6. Step 6: Final answer
    x = 3,787,083.41

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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.