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Finding the Third Proportional to 2,769,508.13 and 4,449,826.13

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Solution

The third proportional to 2,769,508.13 and 4,449,826.13 is: 7,149,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,508.13 : 4,449,826.13 = 4,449,826.13 : x
  2. Step 2: Convert to fraction form
    2,769,508.13/4,449,826.13 = 4,449,826.13/x
  3. Step 3: Cross multiply
    2,769,508.13x = 4,449,826.13 × 4,449,826.13
  4. Step 4: Simplify right side
    2,769,508.13x = 19,800,952,542,732.52
  5. Step 5: Solve for x
    x = 19,800,952,542,732.52/2,769,508.13
  6. Step 6: Final answer
    x = 7,149,627.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.