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Finding the Third Proportional to 451,810 and 982,308

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Solution

The third proportional to 451,810 and 982,308 is: 2,135,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,810 : 982,308 = 982,308 : x
  2. Step 2: Convert to fraction form
    451,810/982,308 = 982,308/x
  3. Step 3: Cross multiply
    451,810x = 982,308 × 982,308
  4. Step 4: Simplify right side
    451,810x = 964,929,006,864
  5. Step 5: Solve for x
    x = 964,929,006,864/451,810
  6. Step 6: Final answer
    x = 2,135,696.44

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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.