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Finding the Third Proportional to 3,002,514 and 4,647,385

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Solution

The third proportional to 3,002,514 and 4,647,385 is: 7,193,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,514 : 4,647,385 = 4,647,385 : x
  2. Step 2: Convert to fraction form
    3,002,514/4,647,385 = 4,647,385/x
  3. Step 3: Cross multiply
    3,002,514x = 4,647,385 × 4,647,385
  4. Step 4: Simplify right side
    3,002,514x = 21,598,187,338,225
  5. Step 5: Solve for x
    x = 21,598,187,338,225/3,002,514
  6. Step 6: Final answer
    x = 7,193,367.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.