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Finding the Third Proportional to 399,420 and 868,824

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Solution

The third proportional to 399,420 and 868,824 is: 1,889,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,420 : 868,824 = 868,824 : x
  2. Step 2: Convert to fraction form
    399,420/868,824 = 868,824/x
  3. Step 3: Cross multiply
    399,420x = 868,824 × 868,824
  4. Step 4: Simplify right side
    399,420x = 754,855,142,976
  5. Step 5: Solve for x
    x = 754,855,142,976/399,420
  6. Step 6: Final answer
    x = 1,889,878.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.