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Finding the Third Proportional to 839,432 and 1,335,005

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Solution

The third proportional to 839,432 and 1,335,005 is: 2,123,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,432 : 1,335,005 = 1,335,005 : x
  2. Step 2: Convert to fraction form
    839,432/1,335,005 = 1,335,005/x
  3. Step 3: Cross multiply
    839,432x = 1,335,005 × 1,335,005
  4. Step 4: Simplify right side
    839,432x = 1,782,238,350,025
  5. Step 5: Solve for x
    x = 1,782,238,350,025/839,432
  6. Step 6: Final answer
    x = 2,123,147.97

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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.