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Finding the Third Proportional to 429,458 and 914,356

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Solution

The third proportional to 429,458 and 914,356 is: 1,946,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,458 : 914,356 = 914,356 : x
  2. Step 2: Convert to fraction form
    429,458/914,356 = 914,356/x
  3. Step 3: Cross multiply
    429,458x = 914,356 × 914,356
  4. Step 4: Simplify right side
    429,458x = 836,046,894,736
  5. Step 5: Solve for x
    x = 836,046,894,736/429,458
  6. Step 6: Final answer
    x = 1,946,748.91

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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.