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Finding the Third Proportional to 561,920 and 889,536

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Solution

The third proportional to 561,920 and 889,536 is: 1,408,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,920 : 889,536 = 889,536 : x
  2. Step 2: Convert to fraction form
    561,920/889,536 = 889,536/x
  3. Step 3: Cross multiply
    561,920x = 889,536 × 889,536
  4. Step 4: Simplify right side
    561,920x = 791,274,295,296
  5. Step 5: Solve for x
    x = 791,274,295,296/561,920
  6. Step 6: Final answer
    x = 1,408,161.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.