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Finding the Third Proportional to 444,510 and 960,100

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Solution

The third proportional to 444,510 and 960,100 is: 2,073,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,510 : 960,100 = 960,100 : x
  2. Step 2: Convert to fraction form
    444,510/960,100 = 960,100/x
  3. Step 3: Cross multiply
    444,510x = 960,100 × 960,100
  4. Step 4: Simplify right side
    444,510x = 921,792,010,000
  5. Step 5: Solve for x
    x = 921,792,010,000/444,510
  6. Step 6: Final answer
    x = 2,073,726.15

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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.