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Finding the Third Proportional to 589,018 and 888,436

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Solution

The third proportional to 589,018 and 888,436 is: 1,340,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,018 : 888,436 = 888,436 : x
  2. Step 2: Convert to fraction form
    589,018/888,436 = 888,436/x
  3. Step 3: Cross multiply
    589,018x = 888,436 × 888,436
  4. Step 4: Simplify right side
    589,018x = 789,318,526,096
  5. Step 5: Solve for x
    x = 789,318,526,096/589,018
  6. Step 6: Final answer
    x = 1,340,058.41

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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.