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Finding the Third Proportional to 449,173 and 964,064

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Solution

The third proportional to 449,173 and 964,064 is: 2,069,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,173 : 964,064 = 964,064 : x
  2. Step 2: Convert to fraction form
    449,173/964,064 = 964,064/x
  3. Step 3: Cross multiply
    449,173x = 964,064 × 964,064
  4. Step 4: Simplify right side
    449,173x = 929,419,396,096
  5. Step 5: Solve for x
    x = 929,419,396,096/449,173
  6. Step 6: Final answer
    x = 2,069,179.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.