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Finding the Third Proportional to 2,935,400 and 5,995,216

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Solution

The third proportional to 2,935,400 and 5,995,216 is: 12,244,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935,400 : 5,995,216 = 5,995,216 : x
  2. Step 2: Convert to fraction form
    2,935,400/5,995,216 = 5,995,216/x
  3. Step 3: Cross multiply
    2,935,400x = 5,995,216 × 5,995,216
  4. Step 4: Simplify right side
    2,935,400x = 35,942,614,886,656
  5. Step 5: Solve for x
    x = 35,942,614,886,656/2,935,400
  6. Step 6: Final answer
    x = 12,244,537.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.