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Finding the Third Proportional to 772,074 and 1,113,824

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Solution

The third proportional to 772,074 and 1,113,824 is: 1,606,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,074 : 1,113,824 = 1,113,824 : x
  2. Step 2: Convert to fraction form
    772,074/1,113,824 = 1,113,824/x
  3. Step 3: Cross multiply
    772,074x = 1,113,824 × 1,113,824
  4. Step 4: Simplify right side
    772,074x = 1,240,603,902,976
  5. Step 5: Solve for x
    x = 1,240,603,902,976/772,074
  6. Step 6: Final answer
    x = 1,606,845.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.