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Finding the Third Proportional to 3,226,314 and 4,952,259

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Solution

The third proportional to 3,226,314 and 4,952,259 is: 7,601,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226,314 : 4,952,259 = 4,952,259 : x
  2. Step 2: Convert to fraction form
    3,226,314/4,952,259 = 4,952,259/x
  3. Step 3: Cross multiply
    3,226,314x = 4,952,259 × 4,952,259
  4. Step 4: Simplify right side
    3,226,314x = 24,524,869,203,081
  5. Step 5: Solve for x
    x = 24,524,869,203,081/3,226,314
  6. Step 6: Final answer
    x = 7,601,513.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.