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Finding the Third Proportional to 1,814,786.44 and 2,785,625.44

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Solution

The third proportional to 1,814,786.44 and 2,785,625.44 is: 4,275,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814,786.44 : 2,785,625.44 = 2,785,625.44 : x
  2. Step 2: Convert to fraction form
    1,814,786.44/2,785,625.44 = 2,785,625.44/x
  3. Step 3: Cross multiply
    1,814,786.44x = 2,785,625.44 × 2,785,625.44
  4. Step 4: Simplify right side
    1,814,786.44x = 7,759,709,078,047.07
  5. Step 5: Solve for x
    x = 7,759,709,078,047.07/1,814,786.44
  6. Step 6: Final answer
    x = 4,275,824.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.