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Finding the Third Proportional to 1,200,132 and 2,560,968

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Solution

The third proportional to 1,200,132 and 2,560,968 is: 5,464,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,132 : 2,560,968 = 2,560,968 : x
  2. Step 2: Convert to fraction form
    1,200,132/2,560,968 = 2,560,968/x
  3. Step 3: Cross multiply
    1,200,132x = 2,560,968 × 2,560,968
  4. Step 4: Simplify right side
    1,200,132x = 6,558,557,097,024
  5. Step 5: Solve for x
    x = 6,558,557,097,024/1,200,132
  6. Step 6: Final answer
    x = 5,464,863.11

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.