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Finding the Third Proportional to 2,857,168 and 5,951,024

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Solution

The third proportional to 2,857,168 and 5,951,024 is: 12,395,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,168 : 5,951,024 = 5,951,024 : x
  2. Step 2: Convert to fraction form
    2,857,168/5,951,024 = 5,951,024/x
  3. Step 3: Cross multiply
    2,857,168x = 5,951,024 × 5,951,024
  4. Step 4: Simplify right side
    2,857,168x = 35,414,686,648,576
  5. Step 5: Solve for x
    x = 35,414,686,648,576/2,857,168
  6. Step 6: Final answer
    x = 12,395,031.25

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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.