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Finding the Third Proportional to 460,338 and 984,640

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Solution

The third proportional to 460,338 and 984,640 is: 2,106,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,338 : 984,640 = 984,640 : x
  2. Step 2: Convert to fraction form
    460,338/984,640 = 984,640/x
  3. Step 3: Cross multiply
    460,338x = 984,640 × 984,640
  4. Step 4: Simplify right side
    460,338x = 969,515,929,600
  5. Step 5: Solve for x
    x = 969,515,929,600/460,338
  6. Step 6: Final answer
    x = 2,106,095.80

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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.