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Finding the Third Proportional to 823,074 and 1,796,970

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Solution

The third proportional to 823,074 and 1,796,970 is: 3,923,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,074 : 1,796,970 = 1,796,970 : x
  2. Step 2: Convert to fraction form
    823,074/1,796,970 = 1,796,970/x
  3. Step 3: Cross multiply
    823,074x = 1,796,970 × 1,796,970
  4. Step 4: Simplify right side
    823,074x = 3,229,101,180,900
  5. Step 5: Solve for x
    x = 3,229,101,180,900/823,074
  6. Step 6: Final answer
    x = 3,923,220.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.