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Finding the Third Proportional to 982,886 and 2,102,398

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Solution

The third proportional to 982,886 and 2,102,398 is: 4,497,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,886 : 2,102,398 = 2,102,398 : x
  2. Step 2: Convert to fraction form
    982,886/2,102,398 = 2,102,398/x
  3. Step 3: Cross multiply
    982,886x = 2,102,398 × 2,102,398
  4. Step 4: Simplify right side
    982,886x = 4,420,077,350,404
  5. Step 5: Solve for x
    x = 4,420,077,350,404/982,886
  6. Step 6: Final answer
    x = 4,497,039.69

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