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Finding the Third Proportional to 982,612.69 and 2,083,321.69

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Solution

The third proportional to 982,612.69 and 2,083,321.69 is: 4,417,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,612.69 : 2,083,321.69 = 2,083,321.69 : x
  2. Step 2: Convert to fraction form
    982,612.69/2,083,321.69 = 2,083,321.69/x
  3. Step 3: Cross multiply
    982,612.69x = 2,083,321.69 × 2,083,321.69
  4. Step 4: Simplify right side
    982,612.69x = 4,340,229,253,607.85
  5. Step 5: Solve for x
    x = 4,340,229,253,607.85/982,612.69
  6. Step 6: Final answer
    x = 4,417,029.53

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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.