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Finding the Third Proportional to 752,339 and 1,166,234

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Solution

The third proportional to 752,339 and 1,166,234 is: 1,807,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,339 : 1,166,234 = 1,166,234 : x
  2. Step 2: Convert to fraction form
    752,339/1,166,234 = 1,166,234/x
  3. Step 3: Cross multiply
    752,339x = 1,166,234 × 1,166,234
  4. Step 4: Simplify right side
    752,339x = 1,360,101,742,756
  5. Step 5: Solve for x
    x = 1,360,101,742,756/752,339
  6. Step 6: Final answer
    x = 1,807,830.97

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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.