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Finding the Third Proportional to 382,754 and 894,002

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Solution

The third proportional to 382,754 and 894,002 is: 2,088,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,754 : 894,002 = 894,002 : x
  2. Step 2: Convert to fraction form
    382,754/894,002 = 894,002/x
  3. Step 3: Cross multiply
    382,754x = 894,002 × 894,002
  4. Step 4: Simplify right side
    382,754x = 799,239,576,004
  5. Step 5: Solve for x
    x = 799,239,576,004/382,754
  6. Step 6: Final answer
    x = 2,088,128.60

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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.