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Finding the Third Proportional to 996,917 and 2,186,823

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Solution

The third proportional to 996,917 and 2,186,823 is: 4,796,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,917 : 2,186,823 = 2,186,823 : x
  2. Step 2: Convert to fraction form
    996,917/2,186,823 = 2,186,823/x
  3. Step 3: Cross multiply
    996,917x = 2,186,823 × 2,186,823
  4. Step 4: Simplify right side
    996,917x = 4,782,194,833,329
  5. Step 5: Solve for x
    x = 4,782,194,833,329/996,917
  6. Step 6: Final answer
    x = 4,796,983.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.