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Finding the Third Proportional to 722,824 and 1,117,004

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Solution

The third proportional to 722,824 and 1,117,004 is: 1,726,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,824 : 1,117,004 = 1,117,004 : x
  2. Step 2: Convert to fraction form
    722,824/1,117,004 = 1,117,004/x
  3. Step 3: Cross multiply
    722,824x = 1,117,004 × 1,117,004
  4. Step 4: Simplify right side
    722,824x = 1,247,697,936,016
  5. Step 5: Solve for x
    x = 1,247,697,936,016/722,824
  6. Step 6: Final answer
    x = 1,726,143.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.