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Finding the Third Proportional to 3,407,784 and 7,270,218

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Solution

The third proportional to 3,407,784 and 7,270,218 is: 15,510,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,784 : 7,270,218 = 7,270,218 : x
  2. Step 2: Convert to fraction form
    3,407,784/7,270,218 = 7,270,218/x
  3. Step 3: Cross multiply
    3,407,784x = 7,270,218 × 7,270,218
  4. Step 4: Simplify right side
    3,407,784x = 52,856,069,767,524
  5. Step 5: Solve for x
    x = 52,856,069,767,524/3,407,784
  6. Step 6: Final answer
    x = 15,510,393.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.