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Finding the Third Proportional to 1,037,583 and 2,187,960.75

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Solution

The third proportional to 1,037,583 and 2,187,960.75 is: 4,613,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,583 : 2,187,960.75 = 2,187,960.75 : x
  2. Step 2: Convert to fraction form
    1,037,583/2,187,960.75 = 2,187,960.75/x
  3. Step 3: Cross multiply
    1,037,583x = 2,187,960.75 × 2,187,960.75
  4. Step 4: Simplify right side
    1,037,583x = 4,787,172,243,540.56
  5. Step 5: Solve for x
    x = 4,787,172,243,540.56/1,037,583
  6. Step 6: Final answer
    x = 4,613,772.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.