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Finding the Third Proportional to 936,299.25 and 1,414,289.25

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Solution

The third proportional to 936,299.25 and 1,414,289.25 is: 2,136,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,299.25 : 1,414,289.25 = 1,414,289.25 : x
  2. Step 2: Convert to fraction form
    936,299.25/1,414,289.25 = 1,414,289.25/x
  3. Step 3: Cross multiply
    936,299.25x = 1,414,289.25 × 1,414,289.25
  4. Step 4: Simplify right side
    936,299.25x = 2,000,214,082,665.56
  5. Step 5: Solve for x
    x = 2,000,214,082,665.56/936,299.25
  6. Step 6: Final answer
    x = 2,136,297.86

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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.