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Finding the Third Proportional to 810,238 and 1,766,268

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Solution

The third proportional to 810,238 and 1,766,268 is: 3,850,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,238 : 1,766,268 = 1,766,268 : x
  2. Step 2: Convert to fraction form
    810,238/1,766,268 = 1,766,268/x
  3. Step 3: Cross multiply
    810,238x = 1,766,268 × 1,766,268
  4. Step 4: Simplify right side
    810,238x = 3,119,702,647,824
  5. Step 5: Solve for x
    x = 3,119,702,647,824/810,238
  6. Step 6: Final answer
    x = 3,850,353.41

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