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Finding the Third Proportional to 445,532 and 960,616

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Solution

The third proportional to 445,532 and 960,616 is: 2,071,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,532 : 960,616 = 960,616 : x
  2. Step 2: Convert to fraction form
    445,532/960,616 = 960,616/x
  3. Step 3: Cross multiply
    445,532x = 960,616 × 960,616
  4. Step 4: Simplify right side
    445,532x = 922,783,099,456
  5. Step 5: Solve for x
    x = 922,783,099,456/445,532
  6. Step 6: Final answer
    x = 2,071,193.76

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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.