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Finding the Third Proportional to 2,463,286 and 5,755,347

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Solution

The third proportional to 2,463,286 and 5,755,347 is: 13,447,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,286 : 5,755,347 = 5,755,347 : x
  2. Step 2: Convert to fraction form
    2,463,286/5,755,347 = 5,755,347/x
  3. Step 3: Cross multiply
    2,463,286x = 5,755,347 × 5,755,347
  4. Step 4: Simplify right side
    2,463,286x = 33,124,019,090,409
  5. Step 5: Solve for x
    x = 33,124,019,090,409/2,463,286
  6. Step 6: Final answer
    x = 13,447,086.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.