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Finding the Third Proportional to 631,794 and 1,491,451

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Solution

The third proportional to 631,794 and 1,491,451 is: 3,520,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,794 : 1,491,451 = 1,491,451 : x
  2. Step 2: Convert to fraction form
    631,794/1,491,451 = 1,491,451/x
  3. Step 3: Cross multiply
    631,794x = 1,491,451 × 1,491,451
  4. Step 4: Simplify right side
    631,794x = 2,224,426,085,401
  5. Step 5: Solve for x
    x = 2,224,426,085,401/631,794
  6. Step 6: Final answer
    x = 3,520,809.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.