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Finding the Third Proportional to 1,785,144 and 3,932,424

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Solution

The third proportional to 1,785,144 and 3,932,424 is: 8,662,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,144 : 3,932,424 = 3,932,424 : x
  2. Step 2: Convert to fraction form
    1,785,144/3,932,424 = 3,932,424/x
  3. Step 3: Cross multiply
    1,785,144x = 3,932,424 × 3,932,424
  4. Step 4: Simplify right side
    1,785,144x = 15,463,958,515,776
  5. Step 5: Solve for x
    x = 15,463,958,515,776/1,785,144
  6. Step 6: Final answer
    x = 8,662,583.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.