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Finding the Third Proportional to 460,330 and 984,620

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Solution

The third proportional to 460,330 and 984,620 is: 2,106,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,330 : 984,620 = 984,620 : x
  2. Step 2: Convert to fraction form
    460,330/984,620 = 984,620/x
  3. Step 3: Cross multiply
    460,330x = 984,620 × 984,620
  4. Step 4: Simplify right side
    460,330x = 969,476,544,400
  5. Step 5: Solve for x
    x = 969,476,544,400/460,330
  6. Step 6: Final answer
    x = 2,106,046.85

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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.