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Finding the Third Proportional to 631,771 and 1,491,397

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Solution

The third proportional to 631,771 and 1,491,397 is: 3,520,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,771 : 1,491,397 = 1,491,397 : x
  2. Step 2: Convert to fraction form
    631,771/1,491,397 = 1,491,397/x
  3. Step 3: Cross multiply
    631,771x = 1,491,397 × 1,491,397
  4. Step 4: Simplify right side
    631,771x = 2,224,265,011,609
  5. Step 5: Solve for x
    x = 2,224,265,011,609/631,771
  6. Step 6: Final answer
    x = 3,520,682.35

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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.