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Finding the Third Proportional to 460,328 and 984,616

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Solution

The third proportional to 460,328 and 984,616 is: 2,106,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,328 : 984,616 = 984,616 : x
  2. Step 2: Convert to fraction form
    460,328/984,616 = 984,616/x
  3. Step 3: Cross multiply
    460,328x = 984,616 × 984,616
  4. Step 4: Simplify right side
    460,328x = 969,468,667,456
  5. Step 5: Solve for x
    x = 969,468,667,456/460,328
  6. Step 6: Final answer
    x = 2,106,038.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.