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Finding the Third Proportional to 428,736 and 931,256

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Solution

The third proportional to 428,736 and 931,256 is: 2,022,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,736 : 931,256 = 931,256 : x
  2. Step 2: Convert to fraction form
    428,736/931,256 = 931,256/x
  3. Step 3: Cross multiply
    428,736x = 931,256 × 931,256
  4. Step 4: Simplify right side
    428,736x = 867,237,737,536
  5. Step 5: Solve for x
    x = 867,237,737,536/428,736
  6. Step 6: Final answer
    x = 2,022,777.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.