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Finding the Third Proportional to 2,361,770 and 3,314,031

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Solution

The third proportional to 2,361,770 and 3,314,031 is: 4,650,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,770 : 3,314,031 = 3,314,031 : x
  2. Step 2: Convert to fraction form
    2,361,770/3,314,031 = 3,314,031/x
  3. Step 3: Cross multiply
    2,361,770x = 3,314,031 × 3,314,031
  4. Step 4: Simplify right side
    2,361,770x = 10,982,801,468,961
  5. Step 5: Solve for x
    x = 10,982,801,468,961/2,361,770
  6. Step 6: Final answer
    x = 4,650,241.75

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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.