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Finding the Third Proportional to 432,721 and 941,638

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Solution

The third proportional to 432,721 and 941,638 is: 2,049,085.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,721 : 941,638 = 941,638 : x
  2. Step 2: Convert to fraction form
    432,721/941,638 = 941,638/x
  3. Step 3: Cross multiply
    432,721x = 941,638 × 941,638
  4. Step 4: Simplify right side
    432,721x = 886,682,123,044
  5. Step 5: Solve for x
    x = 886,682,123,044/432,721
  6. Step 6: Final answer
    x = 2,049,085.03

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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.