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Finding the Third Proportional to 627,966 and 1,309,068

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Solution

The third proportional to 627,966 and 1,309,068 is: 2,728,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,966 : 1,309,068 = 1,309,068 : x
  2. Step 2: Convert to fraction form
    627,966/1,309,068 = 1,309,068/x
  3. Step 3: Cross multiply
    627,966x = 1,309,068 × 1,309,068
  4. Step 4: Simplify right side
    627,966x = 1,713,659,028,624
  5. Step 5: Solve for x
    x = 1,713,659,028,624/627,966
  6. Step 6: Final answer
    x = 2,728,904.16

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.