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Finding the Third Proportional to 622,944 and 1,363,824

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Solution

The third proportional to 622,944 and 1,363,824 is: 2,985,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,944 : 1,363,824 = 1,363,824 : x
  2. Step 2: Convert to fraction form
    622,944/1,363,824 = 1,363,824/x
  3. Step 3: Cross multiply
    622,944x = 1,363,824 × 1,363,824
  4. Step 4: Simplify right side
    622,944x = 1,860,015,902,976
  5. Step 5: Solve for x
    x = 1,860,015,902,976/622,944
  6. Step 6: Final answer
    x = 2,985,847.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.