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Finding the Third Proportional to 449,571 and 940,704

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Solution

The third proportional to 449,571 and 940,704 is: 1,968,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,571 : 940,704 = 940,704 : x
  2. Step 2: Convert to fraction form
    449,571/940,704 = 940,704/x
  3. Step 3: Cross multiply
    449,571x = 940,704 × 940,704
  4. Step 4: Simplify right side
    449,571x = 884,924,015,616
  5. Step 5: Solve for x
    x = 884,924,015,616/449,571
  6. Step 6: Final answer
    x = 1,968,374.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.