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Finding the Third Proportional to 751,285 and 1,670,546

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Solution

The third proportional to 751,285 and 1,670,546 is: 3,714,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,285 : 1,670,546 = 1,670,546 : x
  2. Step 2: Convert to fraction form
    751,285/1,670,546 = 1,670,546/x
  3. Step 3: Cross multiply
    751,285x = 1,670,546 × 1,670,546
  4. Step 4: Simplify right side
    751,285x = 2,790,723,938,116
  5. Step 5: Solve for x
    x = 2,790,723,938,116/751,285
  6. Step 6: Final answer
    x = 3,714,600.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.