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Finding the Third Proportional to 399,546 and 877,824

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Solution

The third proportional to 399,546 and 877,824 is: 1,928,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,546 : 877,824 = 877,824 : x
  2. Step 2: Convert to fraction form
    399,546/877,824 = 877,824/x
  3. Step 3: Cross multiply
    399,546x = 877,824 × 877,824
  4. Step 4: Simplify right side
    399,546x = 770,574,974,976
  5. Step 5: Solve for x
    x = 770,574,974,976/399,546
  6. Step 6: Final answer
    x = 1,928,626.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.