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Finding the Third Proportional to 382,278 and 892,820

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Solution

The third proportional to 382,278 and 892,820 is: 2,085,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,278 : 892,820 = 892,820 : x
  2. Step 2: Convert to fraction form
    382,278/892,820 = 892,820/x
  3. Step 3: Cross multiply
    382,278x = 892,820 × 892,820
  4. Step 4: Simplify right side
    382,278x = 797,127,552,400
  5. Step 5: Solve for x
    x = 797,127,552,400/382,278
  6. Step 6: Final answer
    x = 2,085,203.84

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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.