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Finding the Third Proportional to 1,248,568.50 and 2,740,163.25

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Solution

The third proportional to 1,248,568.50 and 2,740,163.25 is: 6,013,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,568.50 : 2,740,163.25 = 2,740,163.25 : x
  2. Step 2: Convert to fraction form
    1,248,568.50/2,740,163.25 = 2,740,163.25/x
  3. Step 3: Cross multiply
    1,248,568.50x = 2,740,163.25 × 2,740,163.25
  4. Step 4: Simplify right side
    1,248,568.50x = 7,508,494,636,650.56
  5. Step 5: Solve for x
    x = 7,508,494,636,650.56/1,248,568.50
  6. Step 6: Final answer
    x = 6,013,682.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.