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Finding the Third Proportional to 429,695 and 945,190

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Solution

The third proportional to 429,695 and 945,190 is: 2,079,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,695 : 945,190 = 945,190 : x
  2. Step 2: Convert to fraction form
    429,695/945,190 = 945,190/x
  3. Step 3: Cross multiply
    429,695x = 945,190 × 945,190
  4. Step 4: Simplify right side
    429,695x = 893,384,136,100
  5. Step 5: Solve for x
    x = 893,384,136,100/429,695
  6. Step 6: Final answer
    x = 2,079,112.24

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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.