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Finding the Third Proportional to 866,272.50 and 2,086,951.50

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Solution

The third proportional to 866,272.50 and 2,086,951.50 is: 5,027,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,272.50 : 2,086,951.50 = 2,086,951.50 : x
  2. Step 2: Convert to fraction form
    866,272.50/2,086,951.50 = 2,086,951.50/x
  3. Step 3: Cross multiply
    866,272.50x = 2,086,951.50 × 2,086,951.50
  4. Step 4: Simplify right side
    866,272.50x = 4,355,366,563,352.25
  5. Step 5: Solve for x
    x = 4,355,366,563,352.25/866,272.50
  6. Step 6: Final answer
    x = 5,027,709.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.