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Finding the Third Proportional to 444,510 and 960,098

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Solution

The third proportional to 444,510 and 960,098 is: 2,073,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,510 : 960,098 = 960,098 : x
  2. Step 2: Convert to fraction form
    444,510/960,098 = 960,098/x
  3. Step 3: Cross multiply
    444,510x = 960,098 × 960,098
  4. Step 4: Simplify right side
    444,510x = 921,788,169,604
  5. Step 5: Solve for x
    x = 921,788,169,604/444,510
  6. Step 6: Final answer
    x = 2,073,717.51

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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.