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Finding the Third Proportional to 769,618.97 and 1,224,856.69

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Solution

The third proportional to 769,618.97 and 1,224,856.69 is: 1,949,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,618.97 : 1,224,856.69 = 1,224,856.69 : x
  2. Step 2: Convert to fraction form
    769,618.97/1,224,856.69 = 1,224,856.69/x
  3. Step 3: Cross multiply
    769,618.97x = 1,224,856.69 × 1,224,856.69
  4. Step 4: Simplify right side
    769,618.97x = 1,500,273,904,913.47
  5. Step 5: Solve for x
    x = 1,500,273,904,913.47/769,618.97
  6. Step 6: Final answer
    x = 1,949,372.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.