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Finding the Third Proportional to 429,468 and 914,376

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Solution

The third proportional to 429,468 and 914,376 is: 1,946,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,468 : 914,376 = 914,376 : x
  2. Step 2: Convert to fraction form
    429,468/914,376 = 914,376/x
  3. Step 3: Cross multiply
    429,468x = 914,376 × 914,376
  4. Step 4: Simplify right side
    429,468x = 836,083,469,376
  5. Step 5: Solve for x
    x = 836,083,469,376/429,468
  6. Step 6: Final answer
    x = 1,946,788.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.