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Finding the Third Proportional to 373,978 and 822,722

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Solution

The third proportional to 373,978 and 822,722 is: 1,809,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,978 : 822,722 = 822,722 : x
  2. Step 2: Convert to fraction form
    373,978/822,722 = 822,722/x
  3. Step 3: Cross multiply
    373,978x = 822,722 × 822,722
  4. Step 4: Simplify right side
    373,978x = 676,871,489,284
  5. Step 5: Solve for x
    x = 676,871,489,284/373,978
  6. Step 6: Final answer
    x = 1,809,923.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.