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Finding the Third Proportional to 423,074 and 923,326

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Solution

The third proportional to 423,074 and 923,326 is: 2,015,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,074 : 923,326 = 923,326 : x
  2. Step 2: Convert to fraction form
    423,074/923,326 = 923,326/x
  3. Step 3: Cross multiply
    423,074x = 923,326 × 923,326
  4. Step 4: Simplify right side
    423,074x = 852,530,902,276
  5. Step 5: Solve for x
    x = 852,530,902,276/423,074
  6. Step 6: Final answer
    x = 2,015,086.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.