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Finding the Third Proportional to 451,718 and 982,165

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Solution

The third proportional to 451,718 and 982,165 is: 2,135,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,718 : 982,165 = 982,165 : x
  2. Step 2: Convert to fraction form
    451,718/982,165 = 982,165/x
  3. Step 3: Cross multiply
    451,718x = 982,165 × 982,165
  4. Step 4: Simplify right side
    451,718x = 964,648,087,225
  5. Step 5: Solve for x
    x = 964,648,087,225/451,718
  6. Step 6: Final answer
    x = 2,135,509.52

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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.