To find the scale factor in a ratio format, we start with the given scale of the drawing: 3 millimeters = 1 meter.
First, we need to express both measurements in the same unit. Since 1 meter is equal to 1000 millimeters, we can convert the scale as follows:
3 millimeters = 1000 millimeters.
Now we have a ratio of 3 millimeters to 1000 millimeters. To simplify this ratio, we divide both sides by 3:
\[ \frac{3}{3} : \frac{1000}{3} = 1 : \frac{1000}{3}. \]
Calculating \( \frac{1000}{3} \):
\[ \frac{1000}{3} \approx 333.33. \]
Since we need to express this accurately in ratio form, we can leave it as \( \frac{1000}{3} \). The ratio then becomes:
1 : \( \frac{1000}{3} \).
However, it's more common to express this in whole numbers. To achieve this, we can take the original ratio of 3:1000 and divide both sides by 3:
So we have: \[ 3 : 1000 \rightarrow 1 : \frac{1000}{3} \approx 1 : 333.33. \]
In terms of exact whole number representation, multiplying by 3 to avoid the decimal gives:
3 : 1000 = 3 : 1000.
Thus, the scale factor of the drawing is:
1 : 333.33 (or simply the ratio can remain presented as 3:1000 in whole numbers).
So we can say the simplified scale factor is:
1 : 333 (the simplest integer ratio).
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