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Finding the Third Proportional to 433,847 and 937,881

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Solution

The third proportional to 433,847 and 937,881 is: 2,027,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,847 : 937,881 = 937,881 : x
  2. Step 2: Convert to fraction form
    433,847/937,881 = 937,881/x
  3. Step 3: Cross multiply
    433,847x = 937,881 × 937,881
  4. Step 4: Simplify right side
    433,847x = 879,620,770,161
  5. Step 5: Solve for x
    x = 879,620,770,161/433,847
  6. Step 6: Final answer
    x = 2,027,490.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.