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Finding the Third Proportional to 382,773 and 894,048

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Solution

The third proportional to 382,773 and 894,048 is: 2,088,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,773 : 894,048 = 894,048 : x
  2. Step 2: Convert to fraction form
    382,773/894,048 = 894,048/x
  3. Step 3: Cross multiply
    382,773x = 894,048 × 894,048
  4. Step 4: Simplify right side
    382,773x = 799,321,826,304
  5. Step 5: Solve for x
    x = 799,321,826,304/382,773
  6. Step 6: Final answer
    x = 2,088,239.83

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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.