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Finding the Third Proportional to 836,384 and 1,811,008

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Solution

The third proportional to 836,384 and 1,811,008 is: 3,921,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,384 : 1,811,008 = 1,811,008 : x
  2. Step 2: Convert to fraction form
    836,384/1,811,008 = 1,811,008/x
  3. Step 3: Cross multiply
    836,384x = 1,811,008 × 1,811,008
  4. Step 4: Simplify right side
    836,384x = 3,279,749,976,064
  5. Step 5: Solve for x
    x = 3,279,749,976,064/836,384
  6. Step 6: Final answer
    x = 3,921,344.71

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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.