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Finding the Third Proportional to 589,016 and 888,433

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Solution

The third proportional to 589,016 and 888,433 is: 1,340,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,016 : 888,433 = 888,433 : x
  2. Step 2: Convert to fraction form
    589,016/888,433 = 888,433/x
  3. Step 3: Cross multiply
    589,016x = 888,433 × 888,433
  4. Step 4: Simplify right side
    589,016x = 789,313,195,489
  5. Step 5: Solve for x
    x = 789,313,195,489/589,016
  6. Step 6: Final answer
    x = 1,340,053.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.