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Finding the Third Proportional to 1,653,412.50 and 2,505,027

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Solution

The third proportional to 1,653,412.50 and 2,505,027 is: 3,795,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,412.50 : 2,505,027 = 2,505,027 : x
  2. Step 2: Convert to fraction form
    1,653,412.50/2,505,027 = 2,505,027/x
  3. Step 3: Cross multiply
    1,653,412.50x = 2,505,027 × 2,505,027
  4. Step 4: Simplify right side
    1,653,412.50x = 6,275,160,270,729
  5. Step 5: Solve for x
    x = 6,275,160,270,729/1,653,412.50
  6. Step 6: Final answer
    x = 3,795,278.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.