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Finding the Third Proportional to 2,085,785.44 and 5,023,118.81

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Solution

The third proportional to 2,085,785.44 and 5,023,118.81 is: 12,096,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,785.44 : 5,023,118.81 = 5,023,118.81 : x
  2. Step 2: Convert to fraction form
    2,085,785.44/5,023,118.81 = 5,023,118.81/x
  3. Step 3: Cross multiply
    2,085,785.44x = 5,023,118.81 × 5,023,118.81
  4. Step 4: Simplify right side
    2,085,785.44x = 25,231,722,604,491.41
  5. Step 5: Solve for x
    x = 25,231,722,604,491.41/2,085,785.44
  6. Step 6: Final answer
    x = 12,096,988.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.