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Finding the Third Proportional to 383,976 and 837,828

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Solution

The third proportional to 383,976 and 837,828 is: 1,828,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,976 : 837,828 = 837,828 : x
  2. Step 2: Convert to fraction form
    383,976/837,828 = 837,828/x
  3. Step 3: Cross multiply
    383,976x = 837,828 × 837,828
  4. Step 4: Simplify right side
    383,976x = 701,955,757,584
  5. Step 5: Solve for x
    x = 701,955,757,584/383,976
  6. Step 6: Final answer
    x = 1,828,124.04

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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.