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Finding the Third Proportional to 422,680.46 and 860,123.18

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Solution

The third proportional to 422,680.46 and 860,123.18 is: 1,750,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,680.46 : 860,123.18 = 860,123.18 : x
  2. Step 2: Convert to fraction form
    422,680.46/860,123.18 = 860,123.18/x
  3. Step 3: Cross multiply
    422,680.46x = 860,123.18 × 860,123.18
  4. Step 4: Simplify right side
    422,680.46x = 739,811,884,235.74
  5. Step 5: Solve for x
    x = 739,811,884,235.74/422,680.46
  6. Step 6: Final answer
    x = 1,750,286.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.