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Finding the Third Proportional to 1,091,253.50 and 1,651,977

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Solution

The third proportional to 1,091,253.50 and 1,651,977 is: 2,500,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,253.50 : 1,651,977 = 1,651,977 : x
  2. Step 2: Convert to fraction form
    1,091,253.50/1,651,977 = 1,651,977/x
  3. Step 3: Cross multiply
    1,091,253.50x = 1,651,977 × 1,651,977
  4. Step 4: Simplify right side
    1,091,253.50x = 2,729,028,008,529
  5. Step 5: Solve for x
    x = 2,729,028,008,529/1,091,253.50
  6. Step 6: Final answer
    x = 2,500,819.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.