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Finding the Third Proportional to 382,184 and 892,460

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Solution

The third proportional to 382,184 and 892,460 is: 2,084,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,184 : 892,460 = 892,460 : x
  2. Step 2: Convert to fraction form
    382,184/892,460 = 892,460/x
  3. Step 3: Cross multiply
    382,184x = 892,460 × 892,460
  4. Step 4: Simplify right side
    382,184x = 796,484,851,600
  5. Step 5: Solve for x
    x = 796,484,851,600/382,184
  6. Step 6: Final answer
    x = 2,084,035.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.