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Finding the Third Proportional to 1,904,414 and 3,966,652

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Solution

The third proportional to 1,904,414 and 3,966,652 is: 8,262,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,414 : 3,966,652 = 3,966,652 : x
  2. Step 2: Convert to fraction form
    1,904,414/3,966,652 = 3,966,652/x
  3. Step 3: Cross multiply
    1,904,414x = 3,966,652 × 3,966,652
  4. Step 4: Simplify right side
    1,904,414x = 15,734,328,089,104
  5. Step 5: Solve for x
    x = 15,734,328,089,104/1,904,414
  6. Step 6: Final answer
    x = 8,262,031.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.