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Finding the Third Proportional to 444,092 and 963,064

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Solution

The third proportional to 444,092 and 963,064 is: 2,088,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,092 : 963,064 = 963,064 : x
  2. Step 2: Convert to fraction form
    444,092/963,064 = 963,064/x
  3. Step 3: Cross multiply
    444,092x = 963,064 × 963,064
  4. Step 4: Simplify right side
    444,092x = 927,492,268,096
  5. Step 5: Solve for x
    x = 927,492,268,096/444,092
  6. Step 6: Final answer
    x = 2,088,513.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.