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Finding the Third Proportional to 428,542 and 914,037.25

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Solution

The third proportional to 428,542 and 914,037.25 is: 1,949,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,542 : 914,037.25 = 914,037.25 : x
  2. Step 2: Convert to fraction form
    428,542/914,037.25 = 914,037.25/x
  3. Step 3: Cross multiply
    428,542x = 914,037.25 × 914,037.25
  4. Step 4: Simplify right side
    428,542x = 835,464,094,387.56
  5. Step 5: Solve for x
    x = 835,464,094,387.56/428,542
  6. Step 6: Final answer
    x = 1,949,550.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.