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Finding the Third Proportional to 982,857 and 2,102,343

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Solution

The third proportional to 982,857 and 2,102,343 is: 4,496,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,857 : 2,102,343 = 2,102,343 : x
  2. Step 2: Convert to fraction form
    982,857/2,102,343 = 2,102,343/x
  3. Step 3: Cross multiply
    982,857x = 2,102,343 × 2,102,343
  4. Step 4: Simplify right side
    982,857x = 4,419,846,089,649
  5. Step 5: Solve for x
    x = 4,419,846,089,649/982,857
  6. Step 6: Final answer
    x = 4,496,937.08

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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.