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Finding the Third Proportional to 996,914 and 2,193,196

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Solution

The third proportional to 996,914 and 2,193,196 is: 4,824,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,914 : 2,193,196 = 2,193,196 : x
  2. Step 2: Convert to fraction form
    996,914/2,193,196 = 2,193,196/x
  3. Step 3: Cross multiply
    996,914x = 2,193,196 × 2,193,196
  4. Step 4: Simplify right side
    996,914x = 4,810,108,694,416
  5. Step 5: Solve for x
    x = 4,810,108,694,416/996,914
  6. Step 6: Final answer
    x = 4,824,998.64

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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.