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Finding the Third Proportional to 1,204,057.50 and 2,534,171

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Solution

The third proportional to 1,204,057.50 and 2,534,171 is: 5,333,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,057.50 : 2,534,171 = 2,534,171 : x
  2. Step 2: Convert to fraction form
    1,204,057.50/2,534,171 = 2,534,171/x
  3. Step 3: Cross multiply
    1,204,057.50x = 2,534,171 × 2,534,171
  4. Step 4: Simplify right side
    1,204,057.50x = 6,422,022,657,241
  5. Step 5: Solve for x
    x = 6,422,022,657,241/1,204,057.50
  6. Step 6: Final answer
    x = 5,333,651.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.