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Finding the Third Proportional to 410,164 and 892,136

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Solution

The third proportional to 410,164 and 892,136 is: 1,940,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,164 : 892,136 = 892,136 : x
  2. Step 2: Convert to fraction form
    410,164/892,136 = 892,136/x
  3. Step 3: Cross multiply
    410,164x = 892,136 × 892,136
  4. Step 4: Simplify right side
    410,164x = 795,906,642,496
  5. Step 5: Solve for x
    x = 795,906,642,496/410,164
  6. Step 6: Final answer
    x = 1,940,459.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.