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Finding the Third Proportional to 3,002,456 and 4,647,297

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Solution

The third proportional to 3,002,456 and 4,647,297 is: 7,193,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,456 : 4,647,297 = 4,647,297 : x
  2. Step 2: Convert to fraction form
    3,002,456/4,647,297 = 4,647,297/x
  3. Step 3: Cross multiply
    3,002,456x = 4,647,297 × 4,647,297
  4. Step 4: Simplify right side
    3,002,456x = 21,597,369,406,209
  5. Step 5: Solve for x
    x = 21,597,369,406,209/3,002,456
  6. Step 6: Final answer
    x = 7,193,234.27

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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.