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Finding the Third Proportional to 982,857 and 2,102,340

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Solution

The third proportional to 982,857 and 2,102,340 is: 4,496,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,857 : 2,102,340 = 2,102,340 : x
  2. Step 2: Convert to fraction form
    982,857/2,102,340 = 2,102,340/x
  3. Step 3: Cross multiply
    982,857x = 2,102,340 × 2,102,340
  4. Step 4: Simplify right side
    982,857x = 4,419,833,475,600
  5. Step 5: Solve for x
    x = 4,419,833,475,600/982,857
  6. Step 6: Final answer
    x = 4,496,924.25

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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.