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Finding the Third Proportional to 982,851 and 2,102,324

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Solution

The third proportional to 982,851 and 2,102,324 is: 4,496,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,851 : 2,102,324 = 2,102,324 : x
  2. Step 2: Convert to fraction form
    982,851/2,102,324 = 2,102,324/x
  3. Step 3: Cross multiply
    982,851x = 2,102,324 × 2,102,324
  4. Step 4: Simplify right side
    982,851x = 4,419,766,200,976
  5. Step 5: Solve for x
    x = 4,419,766,200,976/982,851
  6. Step 6: Final answer
    x = 4,496,883.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.