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Finding the Third Proportional to 451,796 and 982,288

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Solution

The third proportional to 451,796 and 982,288 is: 2,135,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,796 : 982,288 = 982,288 : x
  2. Step 2: Convert to fraction form
    451,796/982,288 = 982,288/x
  3. Step 3: Cross multiply
    451,796x = 982,288 × 982,288
  4. Step 4: Simplify right side
    451,796x = 964,889,714,944
  5. Step 5: Solve for x
    x = 964,889,714,944/451,796
  6. Step 6: Final answer
    x = 2,135,675.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.