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Finding the Third Proportional to 1,448,666 and 3,149,212

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Solution

The third proportional to 1,448,666 and 3,149,212 is: 6,845,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,666 : 3,149,212 = 3,149,212 : x
  2. Step 2: Convert to fraction form
    1,448,666/3,149,212 = 3,149,212/x
  3. Step 3: Cross multiply
    1,448,666x = 3,149,212 × 3,149,212
  4. Step 4: Simplify right side
    1,448,666x = 9,917,536,220,944
  5. Step 5: Solve for x
    x = 9,917,536,220,944/1,448,666
  6. Step 6: Final answer
    x = 6,845,978.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.