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Finding the Third Proportional to 823,443 and 1,761,042

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Solution

The third proportional to 823,443 and 1,761,042 is: 3,766,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,443 : 1,761,042 = 1,761,042 : x
  2. Step 2: Convert to fraction form
    823,443/1,761,042 = 1,761,042/x
  3. Step 3: Cross multiply
    823,443x = 1,761,042 × 1,761,042
  4. Step 4: Simplify right side
    823,443x = 3,101,268,925,764
  5. Step 5: Solve for x
    x = 3,101,268,925,764/823,443
  6. Step 6: Final answer
    x = 3,766,221.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.