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You may use tee to duplicate command for processing whole stream by many command:

( ( seq 1 10 | tee /dev/fd/5 | sed s/^/line..\ / >&4 ) 5>&1 | wc -l ) 4>&1 
line.. 1
line.. 2
line.. 3
line.. 4
line.. 5
line.. 6
line.. 7
line.. 8
line.. 9
line.. 10
10

or split line by line, using bash:

while read line ;do
    echo cmd1 $line
    read line && echo cmd2 $line
    read line && echo cmd3 $line
  done < <(seq 1 10)
cmd1 1
cmd2 2
cmd3 3
cmd1 4
cmd2 5
cmd3 6
cmd1 7
cmd2 8
cmd3 9
cmd1 10

Finaly there is a way for running cmd1, cmd2 and cmd3 only once with 1/3 of stream as STDIN:

( ( ( seq 1 10 |
         tee /dev/fd/5 /dev/fd/6 |
           sed -ne '1{:a;p;N;N;N;s/^.*\n//;ta;}' |
           cmd1 >&4
     ) 5>&1 |
       sed -ne '2{:a;p;N;N;N;s/^.*\n//;ta;}' |
       cmd2 >&4
  ) 6>&1 |
    sed -ne '3{:a;p;N;N;N;s/^.*\n//;ta;}' |
    cmd3 >&4
) 4>&1 
command_1: 1
command_1: 4
command_1: 7
command_1: 10
Command-2: 2
Command-2: 5
Command-2: 8
command 3: 3
command 3: 6
command 3: 9

For trying this, you could use:

alias cmd1='sed -e "s/^/command_1: /"' \
    cmd2='sed -e "s/^/Command_2: /"' \
    cmd3='sed -e "s/^/Command_3: /"'