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Finding the Third Proportional to 492,452 and 1,058,460

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Solution

The third proportional to 492,452 and 1,058,460 is: 2,275,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,452 : 1,058,460 = 1,058,460 : x
  2. Step 2: Convert to fraction form
    492,452/1,058,460 = 1,058,460/x
  3. Step 3: Cross multiply
    492,452x = 1,058,460 × 1,058,460
  4. Step 4: Simplify right side
    492,452x = 1,120,337,571,600
  5. Step 5: Solve for x
    x = 1,120,337,571,600/492,452
  6. Step 6: Final answer
    x = 2,275,018.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.