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Finding the Third Proportional to 810,753.75 and 1,764,216

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Solution

The third proportional to 810,753.75 and 1,764,216 is: 3,838,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,753.75 : 1,764,216 = 1,764,216 : x
  2. Step 2: Convert to fraction form
    810,753.75/1,764,216 = 1,764,216/x
  3. Step 3: Cross multiply
    810,753.75x = 1,764,216 × 1,764,216
  4. Step 4: Simplify right side
    810,753.75x = 3,112,458,094,656
  5. Step 5: Solve for x
    x = 3,112,458,094,656/810,753.75
  6. Step 6: Final answer
    x = 3,838,968.48

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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.