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Finding the Third Proportional to 589,020 and 888,439

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Solution

The third proportional to 589,020 and 888,439 is: 1,340,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,020 : 888,439 = 888,439 : x
  2. Step 2: Convert to fraction form
    589,020/888,439 = 888,439/x
  3. Step 3: Cross multiply
    589,020x = 888,439 × 888,439
  4. Step 4: Simplify right side
    589,020x = 789,323,856,721
  5. Step 5: Solve for x
    x = 789,323,856,721/589,020
  6. Step 6: Final answer
    x = 1,340,062.91

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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.