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Finding the Third Proportional to 471,731 and 996,706

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Solution

The third proportional to 471,731 and 996,706 is: 2,105,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,731 : 996,706 = 996,706 : x
  2. Step 2: Convert to fraction form
    471,731/996,706 = 996,706/x
  3. Step 3: Cross multiply
    471,731x = 996,706 × 996,706
  4. Step 4: Simplify right side
    471,731x = 993,422,850,436
  5. Step 5: Solve for x
    x = 993,422,850,436/471,731
  6. Step 6: Final answer
    x = 2,105,909.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.