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Finding the Third Proportional to 428,976 and 914,949

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Solution

The third proportional to 428,976 and 914,949 is: 1,951,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,976 : 914,949 = 914,949 : x
  2. Step 2: Convert to fraction form
    428,976/914,949 = 914,949/x
  3. Step 3: Cross multiply
    428,976x = 914,949 × 914,949
  4. Step 4: Simplify right side
    428,976x = 837,131,672,601
  5. Step 5: Solve for x
    x = 837,131,672,601/428,976
  6. Step 6: Final answer
    x = 1,951,465.05

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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.