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Finding the Third Proportional to 2,725,285.50 and 4,231,845

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Solution

The third proportional to 2,725,285.50 and 4,231,845 is: 6,571,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,285.50 : 4,231,845 = 4,231,845 : x
  2. Step 2: Convert to fraction form
    2,725,285.50/4,231,845 = 4,231,845/x
  3. Step 3: Cross multiply
    2,725,285.50x = 4,231,845 × 4,231,845
  4. Step 4: Simplify right side
    2,725,285.50x = 17,908,512,104,025
  5. Step 5: Solve for x
    x = 17,908,512,104,025/2,725,285.50
  6. Step 6: Final answer
    x = 6,571,242.57

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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.