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Finding the Third Proportional to 446,274 and 965,064

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Solution

The third proportional to 446,274 and 965,064 is: 2,086,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,274 : 965,064 = 965,064 : x
  2. Step 2: Convert to fraction form
    446,274/965,064 = 965,064/x
  3. Step 3: Cross multiply
    446,274x = 965,064 × 965,064
  4. Step 4: Simplify right side
    446,274x = 931,348,524,096
  5. Step 5: Solve for x
    x = 931,348,524,096/446,274
  6. Step 6: Final answer
    x = 2,086,943.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.