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Finding the Third Proportional to 384,143.13 and 836,006.38

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Solution

The third proportional to 384,143.13 and 836,006.38 is: 1,819,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,143.13 : 836,006.38 = 836,006.38 : x
  2. Step 2: Convert to fraction form
    384,143.13/836,006.38 = 836,006.38/x
  3. Step 3: Cross multiply
    384,143.13x = 836,006.38 × 836,006.38
  4. Step 4: Simplify right side
    384,143.13x = 698,906,665,571.94
  5. Step 5: Solve for x
    x = 698,906,665,571.94/384,143.13
  6. Step 6: Final answer
    x = 1,819,391.28

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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.