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Finding the Third Proportional to 2,622,474 and 5,706,405

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Solution

The third proportional to 2,622,474 and 5,706,405 is: 12,416,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622,474 : 5,706,405 = 5,706,405 : x
  2. Step 2: Convert to fraction form
    2,622,474/5,706,405 = 5,706,405/x
  3. Step 3: Cross multiply
    2,622,474x = 5,706,405 × 5,706,405
  4. Step 4: Simplify right side
    2,622,474x = 32,563,058,024,025
  5. Step 5: Solve for x
    x = 32,563,058,024,025/2,622,474
  6. Step 6: Final answer
    x = 12,416,923.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.