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Finding the Third Proportional to 665,105.25 and 1,454,433

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Solution

The third proportional to 665,105.25 and 1,454,433 is: 3,180,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,105.25 : 1,454,433 = 1,454,433 : x
  2. Step 2: Convert to fraction form
    665,105.25/1,454,433 = 1,454,433/x
  3. Step 3: Cross multiply
    665,105.25x = 1,454,433 × 1,454,433
  4. Step 4: Simplify right side
    665,105.25x = 2,115,375,351,489
  5. Step 5: Solve for x
    x = 2,115,375,351,489/665,105.25
  6. Step 6: Final answer
    x = 3,180,512.18

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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.