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Finding the Third Proportional to 498,447 and 1,093,395

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Solution

The third proportional to 498,447 and 1,093,395 is: 2,398,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,447 : 1,093,395 = 1,093,395 : x
  2. Step 2: Convert to fraction form
    498,447/1,093,395 = 1,093,395/x
  3. Step 3: Cross multiply
    498,447x = 1,093,395 × 1,093,395
  4. Step 4: Simplify right side
    498,447x = 1,195,512,626,025
  5. Step 5: Solve for x
    x = 1,195,512,626,025/498,447
  6. Step 6: Final answer
    x = 2,398,474.92

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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.