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Finding the Third Proportional to 621,249.25 and 1,358,814.25

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Solution

The third proportional to 621,249.25 and 1,358,814.25 is: 2,972,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,249.25 : 1,358,814.25 = 1,358,814.25 : x
  2. Step 2: Convert to fraction form
    621,249.25/1,358,814.25 = 1,358,814.25/x
  3. Step 3: Cross multiply
    621,249.25x = 1,358,814.25 × 1,358,814.25
  4. Step 4: Simplify right side
    621,249.25x = 1,846,376,166,003.06
  5. Step 5: Solve for x
    x = 1,846,376,166,003.06/621,249.25
  6. Step 6: Final answer
    x = 2,972,037.66

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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.