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Finding the Third Proportional to 631,939 and 969,024

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Solution

The third proportional to 631,939 and 969,024 is: 1,485,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,939 : 969,024 = 969,024 : x
  2. Step 2: Convert to fraction form
    631,939/969,024 = 969,024/x
  3. Step 3: Cross multiply
    631,939x = 969,024 × 969,024
  4. Step 4: Simplify right side
    631,939x = 939,007,512,576
  5. Step 5: Solve for x
    x = 939,007,512,576/631,939
  6. Step 6: Final answer
    x = 1,485,914.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.