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Finding the Third Proportional to 1,922,541 and 4,149,054

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Solution

The third proportional to 1,922,541 and 4,149,054 is: 8,954,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,541 : 4,149,054 = 4,149,054 : x
  2. Step 2: Convert to fraction form
    1,922,541/4,149,054 = 4,149,054/x
  3. Step 3: Cross multiply
    1,922,541x = 4,149,054 × 4,149,054
  4. Step 4: Simplify right side
    1,922,541x = 17,214,649,094,916
  5. Step 5: Solve for x
    x = 17,214,649,094,916/1,922,541
  6. Step 6: Final answer
    x = 8,954,112.86

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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.