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Finding the Third Proportional to 1,659,532 and 2,563,003

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Solution

The third proportional to 1,659,532 and 2,563,003 is: 3,958,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,532 : 2,563,003 = 2,563,003 : x
  2. Step 2: Convert to fraction form
    1,659,532/2,563,003 = 2,563,003/x
  3. Step 3: Cross multiply
    1,659,532x = 2,563,003 × 2,563,003
  4. Step 4: Simplify right side
    1,659,532x = 6,568,984,378,009
  5. Step 5: Solve for x
    x = 6,568,984,378,009/1,659,532
  6. Step 6: Final answer
    x = 3,958,335.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.