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Finding the Third Proportional to 431,380 and 934,156

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Solution

The third proportional to 431,380 and 934,156 is: 2,022,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,380 : 934,156 = 934,156 : x
  2. Step 2: Convert to fraction form
    431,380/934,156 = 934,156/x
  3. Step 3: Cross multiply
    431,380x = 934,156 × 934,156
  4. Step 4: Simplify right side
    431,380x = 872,647,432,336
  5. Step 5: Solve for x
    x = 872,647,432,336/431,380
  6. Step 6: Final answer
    x = 2,022,920.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.