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Finding the Third Proportional to 836,952.75 and 1,823,374.13

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Solution

The third proportional to 836,952.75 and 1,823,374.13 is: 3,972,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,952.75 : 1,823,374.13 = 1,823,374.13 : x
  2. Step 2: Convert to fraction form
    836,952.75/1,823,374.13 = 1,823,374.13/x
  3. Step 3: Cross multiply
    836,952.75x = 1,823,374.13 × 1,823,374.13
  4. Step 4: Simplify right side
    836,952.75x = 3,324,693,199,719.52
  5. Step 5: Solve for x
    x = 3,324,693,199,719.52/836,952.75
  6. Step 6: Final answer
    x = 3,972,378.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.