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Finding the Third Proportional to 429,828 and 923,085

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Solution

The third proportional to 429,828 and 923,085 is: 1,982,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,828 : 923,085 = 923,085 : x
  2. Step 2: Convert to fraction form
    429,828/923,085 = 923,085/x
  3. Step 3: Cross multiply
    429,828x = 923,085 × 923,085
  4. Step 4: Simplify right side
    429,828x = 852,085,917,225
  5. Step 5: Solve for x
    x = 852,085,917,225/429,828
  6. Step 6: Final answer
    x = 1,982,388.11

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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.