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**a:b = 2:3**

**b:c = 1:2**

**Now equalizing the value of 'b" in both cases we have,**

**a:b = 2×1 : 3×1**

**b:c = 1×3 : 2×3**

**Hence, we get,**

**a:b = 2:3**

**b:c = 3:6**

**Hence, a:b:c = 2:3:6 (Answer)**