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Finding the Third Proportional to 429,464 and 914,368

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Solution

The third proportional to 429,464 and 914,368 is: 1,946,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,464 : 914,368 = 914,368 : x
  2. Step 2: Convert to fraction form
    429,464/914,368 = 914,368/x
  3. Step 3: Cross multiply
    429,464x = 914,368 × 914,368
  4. Step 4: Simplify right side
    429,464x = 836,068,839,424
  5. Step 5: Solve for x
    x = 836,068,839,424/429,464
  6. Step 6: Final answer
    x = 1,946,772.81

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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.