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Finding the Third Proportional to 393,990 and 870,924

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Solution

The third proportional to 393,990 and 870,924 is: 1,925,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,990 : 870,924 = 870,924 : x
  2. Step 2: Convert to fraction form
    393,990/870,924 = 870,924/x
  3. Step 3: Cross multiply
    393,990x = 870,924 × 870,924
  4. Step 4: Simplify right side
    393,990x = 758,508,613,776
  5. Step 5: Solve for x
    x = 758,508,613,776/393,990
  6. Step 6: Final answer
    x = 1,925,197.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.