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Finding the Third Proportional to 366,922 and 806,008

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Solution

The third proportional to 366,922 and 806,008 is: 1,770,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,922 : 806,008 = 806,008 : x
  2. Step 2: Convert to fraction form
    366,922/806,008 = 806,008/x
  3. Step 3: Cross multiply
    366,922x = 806,008 × 806,008
  4. Step 4: Simplify right side
    366,922x = 649,648,896,064
  5. Step 5: Solve for x
    x = 649,648,896,064/366,922
  6. Step 6: Final answer
    x = 1,770,536.78

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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.