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Finding the Third Proportional to 996,077 and 2,111,857

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Solution

The third proportional to 996,077 and 2,111,857 is: 4,477,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,077 : 2,111,857 = 2,111,857 : x
  2. Step 2: Convert to fraction form
    996,077/2,111,857 = 2,111,857/x
  3. Step 3: Cross multiply
    996,077x = 2,111,857 × 2,111,857
  4. Step 4: Simplify right side
    996,077x = 4,459,939,988,449
  5. Step 5: Solve for x
    x = 4,459,939,988,449/996,077
  6. Step 6: Final answer
    x = 4,477,505.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.