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Finding the Third Proportional to 429,466 and 914,372

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Solution

The third proportional to 429,466 and 914,372 is: 1,946,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,466 : 914,372 = 914,372 : x
  2. Step 2: Convert to fraction form
    429,466/914,372 = 914,372/x
  3. Step 3: Cross multiply
    429,466x = 914,372 × 914,372
  4. Step 4: Simplify right side
    429,466x = 836,076,154,384
  5. Step 5: Solve for x
    x = 836,076,154,384/429,466
  6. Step 6: Final answer
    x = 1,946,780.78

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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.