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Finding the Third Proportional to 406,782 and 847,232

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Solution

The third proportional to 406,782 and 847,232 is: 1,764,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,782 : 847,232 = 847,232 : x
  2. Step 2: Convert to fraction form
    406,782/847,232 = 847,232/x
  3. Step 3: Cross multiply
    406,782x = 847,232 × 847,232
  4. Step 4: Simplify right side
    406,782x = 717,802,061,824
  5. Step 5: Solve for x
    x = 717,802,061,824/406,782
  6. Step 6: Final answer
    x = 1,764,586.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.