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Finding the Third Proportional to 444,080 and 959,098

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Solution

The third proportional to 444,080 and 959,098 is: 2,071,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,080 : 959,098 = 959,098 : x
  2. Step 2: Convert to fraction form
    444,080/959,098 = 959,098/x
  3. Step 3: Cross multiply
    444,080x = 959,098 × 959,098
  4. Step 4: Simplify right side
    444,080x = 919,868,973,604
  5. Step 5: Solve for x
    x = 919,868,973,604/444,080
  6. Step 6: Final answer
    x = 2,071,403.74

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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.