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Finding the Third Proportional to 449,317 and 961,814

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Solution

The third proportional to 449,317 and 961,814 is: 2,058,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,317 : 961,814 = 961,814 : x
  2. Step 2: Convert to fraction form
    449,317/961,814 = 961,814/x
  3. Step 3: Cross multiply
    449,317x = 961,814 × 961,814
  4. Step 4: Simplify right side
    449,317x = 925,086,170,596
  5. Step 5: Solve for x
    x = 925,086,170,596/449,317
  6. Step 6: Final answer
    x = 2,058,871.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.