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Finding the Third Proportional to 2,869,884 and 6,299,578

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Solution

The third proportional to 2,869,884 and 6,299,578 is: 13,827,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,884 : 6,299,578 = 6,299,578 : x
  2. Step 2: Convert to fraction form
    2,869,884/6,299,578 = 6,299,578/x
  3. Step 3: Cross multiply
    2,869,884x = 6,299,578 × 6,299,578
  4. Step 4: Simplify right side
    2,869,884x = 39,684,682,978,084
  5. Step 5: Solve for x
    x = 39,684,682,978,084/2,869,884
  6. Step 6: Final answer
    x = 13,827,974.57

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Why These Related Problems?

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