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Finding the Third Proportional to 589,058 and 934,227

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Solution

The third proportional to 589,058 and 934,227 is: 1,481,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,058 : 934,227 = 934,227 : x
  2. Step 2: Convert to fraction form
    589,058/934,227 = 934,227/x
  3. Step 3: Cross multiply
    589,058x = 934,227 × 934,227
  4. Step 4: Simplify right side
    589,058x = 872,780,087,529
  5. Step 5: Solve for x
    x = 872,780,087,529/589,058
  6. Step 6: Final answer
    x = 1,481,653.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.