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Finding the Third Proportional to 429,470 and 914,380

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Solution

The third proportional to 429,470 and 914,380 is: 1,946,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,470 : 914,380 = 914,380 : x
  2. Step 2: Convert to fraction form
    429,470/914,380 = 914,380/x
  3. Step 3: Cross multiply
    429,470x = 914,380 × 914,380
  4. Step 4: Simplify right side
    429,470x = 836,090,784,400
  5. Step 5: Solve for x
    x = 836,090,784,400/429,470
  6. Step 6: Final answer
    x = 1,946,796.71

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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.