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Finding the Third Proportional to 460,181 and 985,936

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Solution

The third proportional to 460,181 and 985,936 is: 2,112,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,181 : 985,936 = 985,936 : x
  2. Step 2: Convert to fraction form
    460,181/985,936 = 985,936/x
  3. Step 3: Cross multiply
    460,181x = 985,936 × 985,936
  4. Step 4: Simplify right side
    460,181x = 972,069,796,096
  5. Step 5: Solve for x
    x = 972,069,796,096/460,181
  6. Step 6: Final answer
    x = 2,112,364.04

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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.