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Finding the Third Proportional to 1,827,096 and 3,934,152

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Solution

The third proportional to 1,827,096 and 3,934,152 is: 8,471,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,096 : 3,934,152 = 3,934,152 : x
  2. Step 2: Convert to fraction form
    1,827,096/3,934,152 = 3,934,152/x
  3. Step 3: Cross multiply
    1,827,096x = 3,934,152 × 3,934,152
  4. Step 4: Simplify right side
    1,827,096x = 15,477,551,959,104
  5. Step 5: Solve for x
    x = 15,477,551,959,104/1,827,096
  6. Step 6: Final answer
    x = 8,471,121.36

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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.