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Finding the Third Proportional to 411,790 and 889,188

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Solution

The third proportional to 411,790 and 889,188 is: 1,920,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,790 : 889,188 = 889,188 : x
  2. Step 2: Convert to fraction form
    411,790/889,188 = 889,188/x
  3. Step 3: Cross multiply
    411,790x = 889,188 × 889,188
  4. Step 4: Simplify right side
    411,790x = 790,655,299,344
  5. Step 5: Solve for x
    x = 790,655,299,344/411,790
  6. Step 6: Final answer
    x = 1,920,044.92

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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.