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Finding the Third Proportional to 2,467,419 and 3,680,592

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Solution

The third proportional to 2,467,419 and 3,680,592 is: 5,490,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,419 : 3,680,592 = 3,680,592 : x
  2. Step 2: Convert to fraction form
    2,467,419/3,680,592 = 3,680,592/x
  3. Step 3: Cross multiply
    2,467,419x = 3,680,592 × 3,680,592
  4. Step 4: Simplify right side
    2,467,419x = 13,546,757,470,464
  5. Step 5: Solve for x
    x = 13,546,757,470,464/2,467,419
  6. Step 6: Final answer
    x = 5,490,254.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.