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Finding the Third Proportional to 429,694 and 945,188

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Solution

The third proportional to 429,694 and 945,188 is: 2,079,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,694 : 945,188 = 945,188 : x
  2. Step 2: Convert to fraction form
    429,694/945,188 = 945,188/x
  3. Step 3: Cross multiply
    429,694x = 945,188 × 945,188
  4. Step 4: Simplify right side
    429,694x = 893,380,355,344
  5. Step 5: Solve for x
    x = 893,380,355,344/429,694
  6. Step 6: Final answer
    x = 2,079,108.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.