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Finding the Third Proportional to 1,037,704.50 and 1,325,949

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Solution

The third proportional to 1,037,704.50 and 1,325,949 is: 1,694,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,704.50 : 1,325,949 = 1,325,949 : x
  2. Step 2: Convert to fraction form
    1,037,704.50/1,325,949 = 1,325,949/x
  3. Step 3: Cross multiply
    1,037,704.50x = 1,325,949 × 1,325,949
  4. Step 4: Simplify right side
    1,037,704.50x = 1,758,140,750,601
  5. Step 5: Solve for x
    x = 1,758,140,750,601/1,037,704.50
  6. Step 6: Final answer
    x = 1,694,259.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.