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Finding the Third Proportional to 428,859 and 914,717

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Solution

The third proportional to 428,859 and 914,717 is: 1,951,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,859 : 914,717 = 914,717 : x
  2. Step 2: Convert to fraction form
    428,859/914,717 = 914,717/x
  3. Step 3: Cross multiply
    428,859x = 914,717 × 914,717
  4. Step 4: Simplify right side
    428,859x = 836,707,190,089
  5. Step 5: Solve for x
    x = 836,707,190,089/428,859
  6. Step 6: Final answer
    x = 1,951,007.65

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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.