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Finding the Third Proportional to 460,317 and 984,600

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Solution

The third proportional to 460,317 and 984,600 is: 2,106,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,317 : 984,600 = 984,600 : x
  2. Step 2: Convert to fraction form
    460,317/984,600 = 984,600/x
  3. Step 3: Cross multiply
    460,317x = 984,600 × 984,600
  4. Step 4: Simplify right side
    460,317x = 969,437,160,000
  5. Step 5: Solve for x
    x = 969,437,160,000/460,317
  6. Step 6: Final answer
    x = 2,106,020.76

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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.