[tex]\boxed{\frac{2}{3}=\frac{6}{9}}[/tex]
Step-by-step explanation:
The equation we are given is the following:
[tex]2\cdotp9=3\cdotp6[/tex]
A proportion is a relationship between two ratios. This tells us that two ratios are equal. That is, suppose you have two ratios:
[tex](1) \ \frac{a}{b} \\ \\ (2) \ \frac{c}{d}[/tex]
Then, we can write a proportion as follows:
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
For:
[tex]2\cdotp9=3\cdotp6[/tex]
If you divide both sides by (3)(9):
[tex]\frac{1}{3\cdotp9}(2\cdotp9)=\frac{1}{3\cdotp9}(3\cdotp6) \\ \\ \boxed{\frac{2}{3}=\frac{6}{9}}[/tex]
Constant of proportionality: https://brainly.com/question/13742796#
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