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Finding the Third Proportional to 409,990 and 900,696

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Solution

The third proportional to 409,990 and 900,696 is: 1,978,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,990 : 900,696 = 900,696 : x
  2. Step 2: Convert to fraction form
    409,990/900,696 = 900,696/x
  3. Step 3: Cross multiply
    409,990x = 900,696 × 900,696
  4. Step 4: Simplify right side
    409,990x = 811,253,284,416
  5. Step 5: Solve for x
    x = 811,253,284,416/409,990
  6. Step 6: Final answer
    x = 1,978,714.81

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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.