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Finding the Third Proportional to 2,396,560 and 5,213,024

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Solution

The third proportional to 2,396,560 and 5,213,024 is: 11,339,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396,560 : 5,213,024 = 5,213,024 : x
  2. Step 2: Convert to fraction form
    2,396,560/5,213,024 = 5,213,024/x
  3. Step 3: Cross multiply
    2,396,560x = 5,213,024 × 5,213,024
  4. Step 4: Simplify right side
    2,396,560x = 27,175,619,224,576
  5. Step 5: Solve for x
    x = 27,175,619,224,576/2,396,560
  6. Step 6: Final answer
    x = 11,339,427.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.