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Finding the Third Proportional to 409,175 and 889,173

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Solution

The third proportional to 409,175 and 889,173 is: 1,932,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,175 : 889,173 = 889,173 : x
  2. Step 2: Convert to fraction form
    409,175/889,173 = 889,173/x
  3. Step 3: Cross multiply
    409,175x = 889,173 × 889,173
  4. Step 4: Simplify right side
    409,175x = 790,628,623,929
  5. Step 5: Solve for x
    x = 790,628,623,929/409,175
  6. Step 6: Final answer
    x = 1,932,250.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.