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Finding the Third Proportional to 421,900 and 923,934

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Solution

The third proportional to 421,900 and 923,934 is: 2,023,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,900 : 923,934 = 923,934 : x
  2. Step 2: Convert to fraction form
    421,900/923,934 = 923,934/x
  3. Step 3: Cross multiply
    421,900x = 923,934 × 923,934
  4. Step 4: Simplify right side
    421,900x = 853,654,036,356
  5. Step 5: Solve for x
    x = 853,654,036,356/421,900
  6. Step 6: Final answer
    x = 2,023,356.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.