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Finding the Third Proportional to 621,244.69 and 1,282,128.75

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Solution

The third proportional to 621,244.69 and 1,282,128.75 is: 2,646,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,244.69 : 1,282,128.75 = 1,282,128.75 : x
  2. Step 2: Convert to fraction form
    621,244.69/1,282,128.75 = 1,282,128.75/x
  3. Step 3: Cross multiply
    621,244.69x = 1,282,128.75 × 1,282,128.75
  4. Step 4: Simplify right side
    621,244.69x = 1,643,854,131,576.56
  5. Step 5: Solve for x
    x = 1,643,854,131,576.56/621,244.69
  6. Step 6: Final answer
    x = 2,646,065.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.