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Finding the Third Proportional to 1,609,978 and 3,352,232

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Solution

The third proportional to 1,609,978 and 3,352,232 is: 6,979,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,978 : 3,352,232 = 3,352,232 : x
  2. Step 2: Convert to fraction form
    1,609,978/3,352,232 = 3,352,232/x
  3. Step 3: Cross multiply
    1,609,978x = 3,352,232 × 3,352,232
  4. Step 4: Simplify right side
    1,609,978x = 11,237,459,381,824
  5. Step 5: Solve for x
    x = 11,237,459,381,824/1,609,978
  6. Step 6: Final answer
    x = 6,979,883.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.