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Finding the Third Proportional to 421,593 and 920,232

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Solution

The third proportional to 421,593 and 920,232 is: 2,008,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,593 : 920,232 = 920,232 : x
  2. Step 2: Convert to fraction form
    421,593/920,232 = 920,232/x
  3. Step 3: Cross multiply
    421,593x = 920,232 × 920,232
  4. Step 4: Simplify right side
    421,593x = 846,826,933,824
  5. Step 5: Solve for x
    x = 846,826,933,824/421,593
  6. Step 6: Final answer
    x = 2,008,636.13

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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.