16The cup of blessing which we bless, is it not a participation in the blood of Christ? The bread which we break, is it not a participation in the body of Christ? 17Because there is one bread, we who are many are one body, for we all partake of the one bread. 18Consider the people of Israel; are not those who eat the sacrifices partners in the altar? 19What do I imply then? That food offered to idols is anything, or that an idol is anything? 20No, I imply that what pagans sacrifice they offer to demons and not to God. I do not want you to be partners with demons. 21You cannot drink the cup of the Lord and the cup of demons. You cannot partake of the table of the Lord and the table of demons. (1 Cor 10:16-21)One significance is that consuming the Eucharist makes us participants in the sacrifice offered on the table of the Lord and, thereby, partners with the Lord.
Also, since Jesus Christ sacrificed his Body and Blood on the Cross for a particular purpose, namely, to reconcile mankind to God, those who worthily consume the Eucharist, the Body and Blood of Jesus Christ, receive that reconciliation.