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Finding the Third Proportional to 823,073 and 1,796,968

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Solution

The third proportional to 823,073 and 1,796,968 is: 3,923,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,073 : 1,796,968 = 1,796,968 : x
  2. Step 2: Convert to fraction form
    823,073/1,796,968 = 1,796,968/x
  3. Step 3: Cross multiply
    823,073x = 1,796,968 × 1,796,968
  4. Step 4: Simplify right side
    823,073x = 3,229,093,993,024
  5. Step 5: Solve for x
    x = 3,229,093,993,024/823,073
  6. Step 6: Final answer
    x = 3,923,217.01

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Why These Related Problems?

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