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Finding the Third Proportional to 633,828 and 1,381,384

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Solution

The third proportional to 633,828 and 1,381,384 is: 3,010,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,828 : 1,381,384 = 1,381,384 : x
  2. Step 2: Convert to fraction form
    633,828/1,381,384 = 1,381,384/x
  3. Step 3: Cross multiply
    633,828x = 1,381,384 × 1,381,384
  4. Step 4: Simplify right side
    633,828x = 1,908,221,755,456
  5. Step 5: Solve for x
    x = 1,908,221,755,456/633,828
  6. Step 6: Final answer
    x = 3,010,630.26

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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.