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Finding the Third Proportional to 894,456 and 1,424,662

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Solution

The third proportional to 894,456 and 1,424,662 is: 2,269,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,456 : 1,424,662 = 1,424,662 : x
  2. Step 2: Convert to fraction form
    894,456/1,424,662 = 1,424,662/x
  3. Step 3: Cross multiply
    894,456x = 1,424,662 × 1,424,662
  4. Step 4: Simplify right side
    894,456x = 2,029,661,814,244
  5. Step 5: Solve for x
    x = 2,029,661,814,244/894,456
  6. Step 6: Final answer
    x = 2,269,157.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.