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Finding the Third Proportional to 820,962 and 1,764,180

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Solution

The third proportional to 820,962 and 1,764,180 is: 3,791,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,962 : 1,764,180 = 1,764,180 : x
  2. Step 2: Convert to fraction form
    820,962/1,764,180 = 1,764,180/x
  3. Step 3: Cross multiply
    820,962x = 1,764,180 × 1,764,180
  4. Step 4: Simplify right side
    820,962x = 3,112,331,072,400
  5. Step 5: Solve for x
    x = 3,112,331,072,400/820,962
  6. Step 6: Final answer
    x = 3,791,078.12

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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.