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Finding the Third Proportional to 2,782,237 and 6,040,345

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Solution

The third proportional to 2,782,237 and 6,040,345 is: 13,113,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,237 : 6,040,345 = 6,040,345 : x
  2. Step 2: Convert to fraction form
    2,782,237/6,040,345 = 6,040,345/x
  3. Step 3: Cross multiply
    2,782,237x = 6,040,345 × 6,040,345
  4. Step 4: Simplify right side
    2,782,237x = 36,485,767,719,025
  5. Step 5: Solve for x
    x = 36,485,767,719,025/2,782,237
  6. Step 6: Final answer
    x = 13,113,824.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.