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Finding the Third Proportional to 444,040 and 959,024

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Solution

The third proportional to 444,040 and 959,024 is: 2,071,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,040 : 959,024 = 959,024 : x
  2. Step 2: Convert to fraction form
    444,040/959,024 = 959,024/x
  3. Step 3: Cross multiply
    444,040x = 959,024 × 959,024
  4. Step 4: Simplify right side
    444,040x = 919,727,032,576
  5. Step 5: Solve for x
    x = 919,727,032,576/444,040
  6. Step 6: Final answer
    x = 2,071,270.68

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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.