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Finding the Third Proportional to 737,128.69 and 1,576,727.44

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Solution

The third proportional to 737,128.69 and 1,576,727.44 is: 3,372,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,128.69 : 1,576,727.44 = 1,576,727.44 : x
  2. Step 2: Convert to fraction form
    737,128.69/1,576,727.44 = 1,576,727.44/x
  3. Step 3: Cross multiply
    737,128.69x = 1,576,727.44 × 1,576,727.44
  4. Step 4: Simplify right side
    737,128.69x = 2,486,069,412,165.32
  5. Step 5: Solve for x
    x = 2,486,069,412,165.32/737,128.69
  6. Step 6: Final answer
    x = 3,372,639.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.