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Finding the Third Proportional to 411,781.50 and 889,173

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Solution

The third proportional to 411,781.50 and 889,173 is: 1,920,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,781.50 : 889,173 = 889,173 : x
  2. Step 2: Convert to fraction form
    411,781.50/889,173 = 889,173/x
  3. Step 3: Cross multiply
    411,781.50x = 889,173 × 889,173
  4. Step 4: Simplify right side
    411,781.50x = 790,628,623,929
  5. Step 5: Solve for x
    x = 790,628,623,929/411,781.50
  6. Step 6: Final answer
    x = 1,920,019.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.