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Finding the Third Proportional to 811,761 and 1,761,849

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Solution

The third proportional to 811,761 and 1,761,849 is: 3,823,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,761 : 1,761,849 = 1,761,849 : x
  2. Step 2: Convert to fraction form
    811,761/1,761,849 = 1,761,849/x
  3. Step 3: Cross multiply
    811,761x = 1,761,849 × 1,761,849
  4. Step 4: Simplify right side
    811,761x = 3,104,111,898,801
  5. Step 5: Solve for x
    x = 3,104,111,898,801/811,761
  6. Step 6: Final answer
    x = 3,823,923.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.