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Finding the Third Proportional to 825,963.75 and 1,531,770.75

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Solution

The third proportional to 825,963.75 and 1,531,770.75 is: 2,840,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,963.75 : 1,531,770.75 = 1,531,770.75 : x
  2. Step 2: Convert to fraction form
    825,963.75/1,531,770.75 = 1,531,770.75/x
  3. Step 3: Cross multiply
    825,963.75x = 1,531,770.75 × 1,531,770.75
  4. Step 4: Simplify right side
    825,963.75x = 2,346,321,630,555.56
  5. Step 5: Solve for x
    x = 2,346,321,630,555.56/825,963.75
  6. Step 6: Final answer
    x = 2,840,707.76

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.