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Finding the Third Proportional to 449,981 and 950,546

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Solution

The third proportional to 449,981 and 950,546 is: 2,007,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,981 : 950,546 = 950,546 : x
  2. Step 2: Convert to fraction form
    449,981/950,546 = 950,546/x
  3. Step 3: Cross multiply
    449,981x = 950,546 × 950,546
  4. Step 4: Simplify right side
    449,981x = 903,537,698,116
  5. Step 5: Solve for x
    x = 903,537,698,116/449,981
  6. Step 6: Final answer
    x = 2,007,946.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.