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Finding the Third Proportional to 823,071 and 1,796,964

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Solution

The third proportional to 823,071 and 1,796,964 is: 3,923,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,071 : 1,796,964 = 1,796,964 : x
  2. Step 2: Convert to fraction form
    823,071/1,796,964 = 1,796,964/x
  3. Step 3: Cross multiply
    823,071x = 1,796,964 × 1,796,964
  4. Step 4: Simplify right side
    823,071x = 3,229,079,617,296
  5. Step 5: Solve for x
    x = 3,229,079,617,296/823,071
  6. Step 6: Final answer
    x = 3,923,209.08

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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.