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Finding the Third Proportional to 449,424 and 961,056

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Solution

The third proportional to 449,424 and 961,056 is: 2,055,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,424 : 961,056 = 961,056 : x
  2. Step 2: Convert to fraction form
    449,424/961,056 = 961,056/x
  3. Step 3: Cross multiply
    449,424x = 961,056 × 961,056
  4. Step 4: Simplify right side
    449,424x = 923,628,635,136
  5. Step 5: Solve for x
    x = 923,628,635,136/449,424
  6. Step 6: Final answer
    x = 2,055,138.66

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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.