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Finding the Third Proportional to 1,609,728 and 2,256,003

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Solution

The third proportional to 1,609,728 and 2,256,003 is: 3,161,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,728 : 2,256,003 = 2,256,003 : x
  2. Step 2: Convert to fraction form
    1,609,728/2,256,003 = 2,256,003/x
  3. Step 3: Cross multiply
    1,609,728x = 2,256,003 × 2,256,003
  4. Step 4: Simplify right side
    1,609,728x = 5,089,549,536,009
  5. Step 5: Solve for x
    x = 5,089,549,536,009/1,609,728
  6. Step 6: Final answer
    x = 3,161,745.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.