verb
BAD : I want to establish a cooperative store.
GOOD : I want to open a cooperative store.
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You establish a major company or organization that will probably run forever or for a very long time: 'As soon as Rwanda became independent, it established its own national bank.' 'Most of the money is to be used to establish local industries and mobilize the workforce.'
You start or start up a small company or organization: 'They intend to use the money to start up their own taxi business.'
You open a new shop, restaurant, shopping mall etc: 'They're planning to open a small hotel just outside town.'