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Finding the Third Proportional to 3,114,254 and 6,694,096

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Solution

The third proportional to 3,114,254 and 6,694,096 is: 14,388,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114,254 : 6,694,096 = 6,694,096 : x
  2. Step 2: Convert to fraction form
    3,114,254/6,694,096 = 6,694,096/x
  3. Step 3: Cross multiply
    3,114,254x = 6,694,096 × 6,694,096
  4. Step 4: Simplify right side
    3,114,254x = 44,810,921,257,216
  5. Step 5: Solve for x
    x = 44,810,921,257,216/3,114,254
  6. Step 6: Final answer
    x = 14,388,974.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.