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Finding the Third Proportional to 844,518.25 and 1,308,770.75

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Solution

The third proportional to 844,518.25 and 1,308,770.75 is: 2,028,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,518.25 : 1,308,770.75 = 1,308,770.75 : x
  2. Step 2: Convert to fraction form
    844,518.25/1,308,770.75 = 1,308,770.75/x
  3. Step 3: Cross multiply
    844,518.25x = 1,308,770.75 × 1,308,770.75
  4. Step 4: Simplify right side
    844,518.25x = 1,712,880,876,055.56
  5. Step 5: Solve for x
    x = 1,712,880,876,055.56/844,518.25
  6. Step 6: Final answer
    x = 2,028,234.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.