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Finding the Third Proportional to 631,849.36 and 1,383,972.33

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Solution

The third proportional to 631,849.36 and 1,383,972.33 is: 3,031,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,849.36 : 1,383,972.33 = 1,383,972.33 : x
  2. Step 2: Convert to fraction form
    631,849.36/1,383,972.33 = 1,383,972.33/x
  3. Step 3: Cross multiply
    631,849.36x = 1,383,972.33 × 1,383,972.33
  4. Step 4: Simplify right side
    631,849.36x = 1,915,379,405,015.73
  5. Step 5: Solve for x
    x = 1,915,379,405,015.73/631,849.36
  6. Step 6: Final answer
    x = 3,031,386.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.