Exhibit 32

Quarterly Certification Pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002

     Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code), each of the undersigned officers of The McGraw-Hill Companies, Inc. (the “Company”), does hereby certify, to such officer’s knowledge, that:

     The quarterly report on Form 10-Q for the quarter ended June 30, 2004 of the Company fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 and information contained in the Form 10-Q fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated: July 30, 2004	/s/ Harold W. McGraw III
	Harold W. McGraw III
	Chairman, President and
	Chief Executive Officer
Dated: July 30, 2004	/s/ Robert J. Bahash
	Robert J. Bahash
	Executive Vice President and
	Chief Financial Officer

A signed original of this written statement required by Section 906 has been
provided to The McGraw-Hill Companies and will be retained by The
McGraw-Hill Companies and furnished to the Securities and Exchange
Commission or its staff upon request.

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