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Finding the Third Proportional to 498,452 and 1,093,404

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Solution

The third proportional to 498,452 and 1,093,404 is: 2,398,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,452 : 1,093,404 = 1,093,404 : x
  2. Step 2: Convert to fraction form
    498,452/1,093,404 = 1,093,404/x
  3. Step 3: Cross multiply
    498,452x = 1,093,404 × 1,093,404
  4. Step 4: Simplify right side
    498,452x = 1,195,532,307,216
  5. Step 5: Solve for x
    x = 1,195,532,307,216/498,452
  6. Step 6: Final answer
    x = 2,398,490.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.