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Finding the Third Proportional to 389,724 and 835,824

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Solution

The third proportional to 389,724 and 835,824 is: 1,792,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,724 : 835,824 = 835,824 : x
  2. Step 2: Convert to fraction form
    389,724/835,824 = 835,824/x
  3. Step 3: Cross multiply
    389,724x = 835,824 × 835,824
  4. Step 4: Simplify right side
    389,724x = 698,601,758,976
  5. Step 5: Solve for x
    x = 698,601,758,976/389,724
  6. Step 6: Final answer
    x = 1,792,555.14

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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.