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Finding the Third Proportional to 3,278,024 and 4,962,747

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Solution

The third proportional to 3,278,024 and 4,962,747 is: 7,513,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278,024 : 4,962,747 = 4,962,747 : x
  2. Step 2: Convert to fraction form
    3,278,024/4,962,747 = 4,962,747/x
  3. Step 3: Cross multiply
    3,278,024x = 4,962,747 × 4,962,747
  4. Step 4: Simplify right side
    3,278,024x = 24,628,857,786,009
  5. Step 5: Solve for x
    x = 24,628,857,786,009/3,278,024
  6. Step 6: Final answer
    x = 7,513,324.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.