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Finding the Third Proportional to 827,246.25 and 1,245,793.50

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Solution

The third proportional to 827,246.25 and 1,245,793.50 is: 1,876,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,246.25 : 1,245,793.50 = 1,245,793.50 : x
  2. Step 2: Convert to fraction form
    827,246.25/1,245,793.50 = 1,245,793.50/x
  3. Step 3: Cross multiply
    827,246.25x = 1,245,793.50 × 1,245,793.50
  4. Step 4: Simplify right side
    827,246.25x = 1,552,001,444,642.25
  5. Step 5: Solve for x
    x = 1,552,001,444,642.25/827,246.25
  6. Step 6: Final answer
    x = 1,876,105.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.