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Finding the Third Proportional to 429,912 and 923,246

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Solution

The third proportional to 429,912 and 923,246 is: 1,982,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,912 : 923,246 = 923,246 : x
  2. Step 2: Convert to fraction form
    429,912/923,246 = 923,246/x
  3. Step 3: Cross multiply
    429,912x = 923,246 × 923,246
  4. Step 4: Simplify right side
    429,912x = 852,383,176,516
  5. Step 5: Solve for x
    x = 852,383,176,516/429,912
  6. Step 6: Final answer
    x = 1,982,692.22

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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.