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Finding the Third Proportional to 411,786 and 889,182

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Solution

The third proportional to 411,786 and 889,182 is: 1,920,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,786 : 889,182 = 889,182 : x
  2. Step 2: Convert to fraction form
    411,786/889,182 = 889,182/x
  3. Step 3: Cross multiply
    411,786x = 889,182 × 889,182
  4. Step 4: Simplify right side
    411,786x = 790,644,629,124
  5. Step 5: Solve for x
    x = 790,644,629,124/411,786
  6. Step 6: Final answer
    x = 1,920,037.66

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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.