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Finding the Third Proportional to 428,385 and 940,833

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Solution

The third proportional to 428,385 and 940,833 is: 2,066,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,385 : 940,833 = 940,833 : x
  2. Step 2: Convert to fraction form
    428,385/940,833 = 940,833/x
  3. Step 3: Cross multiply
    428,385x = 940,833 × 940,833
  4. Step 4: Simplify right side
    428,385x = 885,166,733,889
  5. Step 5: Solve for x
    x = 885,166,733,889/428,385
  6. Step 6: Final answer
    x = 2,066,287.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.