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Finding the Third Proportional to 751,138 and 1,670,192

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Solution

The third proportional to 751,138 and 1,670,192 is: 3,713,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,138 : 1,670,192 = 1,670,192 : x
  2. Step 2: Convert to fraction form
    751,138/1,670,192 = 1,670,192/x
  3. Step 3: Cross multiply
    751,138x = 1,670,192 × 1,670,192
  4. Step 4: Simplify right side
    751,138x = 2,789,541,316,864
  5. Step 5: Solve for x
    x = 2,789,541,316,864/751,138
  6. Step 6: Final answer
    x = 3,713,753.42

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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.