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When determining the position of a point that

As shown on the line, point $P$ partitions the directed line segment $AB$ into a $1:2$ ratio. That implies $A$ is the starting point where one part is followed by two parts of three parts total. Conversely, the same point partitions the directed line segment $BA$ into a $2:1$ ratio. In that case, the starting point is $B$ where two parts are followed by one part of three parts total.