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Finding the Third Proportional to 2,272,846 and 4,994,025

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Solution

The third proportional to 2,272,846 and 4,994,025 is: 10,973,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,846 : 4,994,025 = 4,994,025 : x
  2. Step 2: Convert to fraction form
    2,272,846/4,994,025 = 4,994,025/x
  3. Step 3: Cross multiply
    2,272,846x = 4,994,025 × 4,994,025
  4. Step 4: Simplify right side
    2,272,846x = 24,940,285,700,625
  5. Step 5: Solve for x
    x = 24,940,285,700,625/2,272,846
  6. Step 6: Final answer
    x = 10,973,152.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.