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Finding the Third Proportional to 445,623 and 962,268

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Solution

The third proportional to 445,623 and 962,268 is: 2,077,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,623 : 962,268 = 962,268 : x
  2. Step 2: Convert to fraction form
    445,623/962,268 = 962,268/x
  3. Step 3: Cross multiply
    445,623x = 962,268 × 962,268
  4. Step 4: Simplify right side
    445,623x = 925,959,703,824
  5. Step 5: Solve for x
    x = 925,959,703,824/445,623
  6. Step 6: Final answer
    x = 2,077,899.26

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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.