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Finding the Third Proportional to 383,832 and 837,540

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Solution

The third proportional to 383,832 and 837,540 is: 1,827,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,832 : 837,540 = 837,540 : x
  2. Step 2: Convert to fraction form
    383,832/837,540 = 837,540/x
  3. Step 3: Cross multiply
    383,832x = 837,540 × 837,540
  4. Step 4: Simplify right side
    383,832x = 701,473,251,600
  5. Step 5: Solve for x
    x = 701,473,251,600/383,832
  6. Step 6: Final answer
    x = 1,827,552.81

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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.