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Finding the Third Proportional to 836,962 and 1,823,389

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Solution

The third proportional to 836,962 and 1,823,389 is: 3,972,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,962 : 1,823,389 = 1,823,389 : x
  2. Step 2: Convert to fraction form
    836,962/1,823,389 = 1,823,389/x
  3. Step 3: Cross multiply
    836,962x = 1,823,389 × 1,823,389
  4. Step 4: Simplify right side
    836,962x = 3,324,747,445,321
  5. Step 5: Solve for x
    x = 3,324,747,445,321/836,962
  6. Step 6: Final answer
    x = 3,972,399.52

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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.