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Finding the Third Proportional to 1,294,551.75 and 1,941,828

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Solution

The third proportional to 1,294,551.75 and 1,941,828 is: 2,912,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,551.75 : 1,941,828 = 1,941,828 : x
  2. Step 2: Convert to fraction form
    1,294,551.75/1,941,828 = 1,941,828/x
  3. Step 3: Cross multiply
    1,294,551.75x = 1,941,828 × 1,941,828
  4. Step 4: Simplify right side
    1,294,551.75x = 3,770,695,981,584
  5. Step 5: Solve for x
    x = 3,770,695,981,584/1,294,551.75
  6. Step 6: Final answer
    x = 2,912,742.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.