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Finding the Third Proportional to 1,610,733 and 2,257,722

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Solution

The third proportional to 1,610,733 and 2,257,722 is: 3,164,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,733 : 2,257,722 = 2,257,722 : x
  2. Step 2: Convert to fraction form
    1,610,733/2,257,722 = 2,257,722/x
  3. Step 3: Cross multiply
    1,610,733x = 2,257,722 × 2,257,722
  4. Step 4: Simplify right side
    1,610,733x = 5,097,308,629,284
  5. Step 5: Solve for x
    x = 5,097,308,629,284/1,610,733
  6. Step 6: Final answer
    x = 3,164,589.43

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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.