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Finding the Third Proportional to 383,944 and 837,872

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Solution

The third proportional to 383,944 and 837,872 is: 1,828,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,944 : 837,872 = 837,872 : x
  2. Step 2: Convert to fraction form
    383,944/837,872 = 837,872/x
  3. Step 3: Cross multiply
    383,944x = 837,872 × 837,872
  4. Step 4: Simplify right side
    383,944x = 702,029,488,384
  5. Step 5: Solve for x
    x = 702,029,488,384/383,944
  6. Step 6: Final answer
    x = 1,828,468.44

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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.