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Finding the Third Proportional to 422,596 and 928,136

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Solution

The third proportional to 422,596 and 928,136 is: 2,038,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,596 : 928,136 = 928,136 : x
  2. Step 2: Convert to fraction form
    422,596/928,136 = 928,136/x
  3. Step 3: Cross multiply
    422,596x = 928,136 × 928,136
  4. Step 4: Simplify right side
    422,596x = 861,436,434,496
  5. Step 5: Solve for x
    x = 861,436,434,496/422,596
  6. Step 6: Final answer
    x = 2,038,439.63

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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.