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Finding the Third Proportional to 1,962,832 and 2,954,080

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Solution

The third proportional to 1,962,832 and 2,954,080 is: 4,445,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962,832 : 2,954,080 = 2,954,080 : x
  2. Step 2: Convert to fraction form
    1,962,832/2,954,080 = 2,954,080/x
  3. Step 3: Cross multiply
    1,962,832x = 2,954,080 × 2,954,080
  4. Step 4: Simplify right side
    1,962,832x = 8,726,588,646,400
  5. Step 5: Solve for x
    x = 8,726,588,646,400/1,962,832
  6. Step 6: Final answer
    x = 4,445,917.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.