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Finding the Third Proportional to 2,577,103.25 and 3,786,767.25

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Solution

The third proportional to 2,577,103.25 and 3,786,767.25 is: 5,564,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,103.25 : 3,786,767.25 = 3,786,767.25 : x
  2. Step 2: Convert to fraction form
    2,577,103.25/3,786,767.25 = 3,786,767.25/x
  3. Step 3: Cross multiply
    2,577,103.25x = 3,786,767.25 × 3,786,767.25
  4. Step 4: Simplify right side
    2,577,103.25x = 14,339,606,205,672.56
  5. Step 5: Solve for x
    x = 14,339,606,205,672.56/2,577,103.25
  6. Step 6: Final answer
    x = 5,564,234.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.