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Finding the Third Proportional to 982,648 and 2,083,396

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Solution

The third proportional to 982,648 and 2,083,396 is: 4,417,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,648 : 2,083,396 = 2,083,396 : x
  2. Step 2: Convert to fraction form
    982,648/2,083,396 = 2,083,396/x
  3. Step 3: Cross multiply
    982,648x = 2,083,396 × 2,083,396
  4. Step 4: Simplify right side
    982,648x = 4,340,538,892,816
  5. Step 5: Solve for x
    x = 4,340,538,892,816/982,648
  6. Step 6: Final answer
    x = 4,417,185.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.