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Finding the Third Proportional to 960,320 and 2,062,976

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Solution

The third proportional to 960,320 and 2,062,976 is: 4,431,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,320 : 2,062,976 = 2,062,976 : x
  2. Step 2: Convert to fraction form
    960,320/2,062,976 = 2,062,976/x
  3. Step 3: Cross multiply
    960,320x = 2,062,976 × 2,062,976
  4. Step 4: Simplify right side
    960,320x = 4,255,869,976,576
  5. Step 5: Solve for x
    x = 4,255,869,976,576/960,320
  6. Step 6: Final answer
    x = 4,431,720.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.