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Finding the Third Proportional to 2,053,195 and 3,195,837.25

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Solution

The third proportional to 2,053,195 and 3,195,837.25 is: 4,974,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,195 : 3,195,837.25 = 3,195,837.25 : x
  2. Step 2: Convert to fraction form
    2,053,195/3,195,837.25 = 3,195,837.25/x
  3. Step 3: Cross multiply
    2,053,195x = 3,195,837.25 × 3,195,837.25
  4. Step 4: Simplify right side
    2,053,195x = 10,213,375,728,487.56
  5. Step 5: Solve for x
    x = 10,213,375,728,487.56/2,053,195
  6. Step 6: Final answer
    x = 4,974,381.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.