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Finding the Third Proportional to 381,922 and 837,291

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Solution

The third proportional to 381,922 and 837,291 is: 1,835,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,922 : 837,291 = 837,291 : x
  2. Step 2: Convert to fraction form
    381,922/837,291 = 837,291/x
  3. Step 3: Cross multiply
    381,922x = 837,291 × 837,291
  4. Step 4: Simplify right side
    381,922x = 701,056,218,681
  5. Step 5: Solve for x
    x = 701,056,218,681/381,922
  6. Step 6: Final answer
    x = 1,835,600.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.