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Finding the Third Proportional to 2,105,814.38 and 3,331,584

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Solution

The third proportional to 2,105,814.38 and 3,331,584 is: 5,270,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,814.38 : 3,331,584 = 3,331,584 : x
  2. Step 2: Convert to fraction form
    2,105,814.38/3,331,584 = 3,331,584/x
  3. Step 3: Cross multiply
    2,105,814.38x = 3,331,584 × 3,331,584
  4. Step 4: Simplify right side
    2,105,814.38x = 11,099,451,949,056
  5. Step 5: Solve for x
    x = 11,099,451,949,056/2,105,814.38
  6. Step 6: Final answer
    x = 5,270,859.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.