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Finding the Third Proportional to 2,172,536.50 and 3,286,767

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Solution

The third proportional to 2,172,536.50 and 3,286,767 is: 4,972,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,536.50 : 3,286,767 = 3,286,767 : x
  2. Step 2: Convert to fraction form
    2,172,536.50/3,286,767 = 3,286,767/x
  3. Step 3: Cross multiply
    2,172,536.50x = 3,286,767 × 3,286,767
  4. Step 4: Simplify right side
    2,172,536.50x = 10,802,837,312,289
  5. Step 5: Solve for x
    x = 10,802,837,312,289/2,172,536.50
  6. Step 6: Final answer
    x = 4,972,453.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.