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Finding the Third Proportional to 982,617.75 and 2,083,333.50

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Solution

The third proportional to 982,617.75 and 2,083,333.50 is: 4,417,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,617.75 : 2,083,333.50 = 2,083,333.50 : x
  2. Step 2: Convert to fraction form
    982,617.75/2,083,333.50 = 2,083,333.50/x
  3. Step 3: Cross multiply
    982,617.75x = 2,083,333.50 × 2,083,333.50
  4. Step 4: Simplify right side
    982,617.75x = 4,340,278,472,222.25
  5. Step 5: Solve for x
    x = 4,340,278,472,222.25/982,617.75
  6. Step 6: Final answer
    x = 4,417,056.86

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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.