With SSH access for your package, you can use the following command-line instructions to import a MySQL database:
mysql -h hostname -u username -p username < databasefile.sql
The above command will connect you to your database with the -h (hostname) -u (username) -p (database name in this case) then the unzipped file < databasefile.sql
You will be now asked to enter a password for the database. Input the password and press enter.
Compressed files
In case, if the database file is zipped then you will need to unzip it first and then you can use one of the following commands:
For a .zip file you can use the unzip command:
unzip databasefile.sql.zip
mysql -h hostname -u username -p username < databasefile.sql
For a .gz file you can use the gunzip command:
gunzip databasefile.sql.gz
mysql -h hostname -u username -p username < databasefile.sql
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There is a guide about how to connect to your package via SSH here.