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Finding the Third Proportional to 383,616 and 896,004

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Solution

The third proportional to 383,616 and 896,004 is: 2,092,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,616 : 896,004 = 896,004 : x
  2. Step 2: Convert to fraction form
    383,616/896,004 = 896,004/x
  3. Step 3: Cross multiply
    383,616x = 896,004 × 896,004
  4. Step 4: Simplify right side
    383,616x = 802,823,168,016
  5. Step 5: Solve for x
    x = 802,823,168,016/383,616
  6. Step 6: Final answer
    x = 2,092,778.11

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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.