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Finding the Third Proportional to 488,755.50 and 1,022,175

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Solution

The third proportional to 488,755.50 and 1,022,175 is: 2,137,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,755.50 : 1,022,175 = 1,022,175 : x
  2. Step 2: Convert to fraction form
    488,755.50/1,022,175 = 1,022,175/x
  3. Step 3: Cross multiply
    488,755.50x = 1,022,175 × 1,022,175
  4. Step 4: Simplify right side
    488,755.50x = 1,044,841,730,625
  5. Step 5: Solve for x
    x = 1,044,841,730,625/488,755.50
  6. Step 6: Final answer
    x = 2,137,759.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.