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Finding the Third Proportional to 1,538,599.50 and 2,074,977

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Solution

The third proportional to 1,538,599.50 and 2,074,977 is: 2,798,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,599.50 : 2,074,977 = 2,074,977 : x
  2. Step 2: Convert to fraction form
    1,538,599.50/2,074,977 = 2,074,977/x
  3. Step 3: Cross multiply
    1,538,599.50x = 2,074,977 × 2,074,977
  4. Step 4: Simplify right side
    1,538,599.50x = 4,305,529,550,529
  5. Step 5: Solve for x
    x = 4,305,529,550,529/1,538,599.50
  6. Step 6: Final answer
    x = 2,798,343.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.