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Finding the Third Proportional to 422,599 and 996,581

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Solution

The third proportional to 422,599 and 996,581 is: 2,350,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,599 : 996,581 = 996,581 : x
  2. Step 2: Convert to fraction form
    422,599/996,581 = 996,581/x
  3. Step 3: Cross multiply
    422,599x = 996,581 × 996,581
  4. Step 4: Simplify right side
    422,599x = 993,173,689,561
  5. Step 5: Solve for x
    x = 993,173,689,561/422,599
  6. Step 6: Final answer
    x = 2,350,156.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.