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Finding the Third Proportional to 2,863,286 and 6,174,916

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Solution

The third proportional to 2,863,286 and 6,174,916 is: 13,316,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,286 : 6,174,916 = 6,174,916 : x
  2. Step 2: Convert to fraction form
    2,863,286/6,174,916 = 6,174,916/x
  3. Step 3: Cross multiply
    2,863,286x = 6,174,916 × 6,174,916
  4. Step 4: Simplify right side
    2,863,286x = 38,129,587,607,056
  5. Step 5: Solve for x
    x = 38,129,587,607,056/2,863,286
  6. Step 6: Final answer
    x = 13,316,723.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.