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Finding the Third Proportional to 429,910 and 923,242

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Solution

The third proportional to 429,910 and 923,242 is: 1,982,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,910 : 923,242 = 923,242 : x
  2. Step 2: Convert to fraction form
    429,910/923,242 = 923,242/x
  3. Step 3: Cross multiply
    429,910x = 923,242 × 923,242
  4. Step 4: Simplify right side
    429,910x = 852,375,790,564
  5. Step 5: Solve for x
    x = 852,375,790,564/429,910
  6. Step 6: Final answer
    x = 1,982,684.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.