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Finding the Third Proportional to 634,380 and 1,394,937

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Solution

The third proportional to 634,380 and 1,394,937 is: 3,067,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,380 : 1,394,937 = 1,394,937 : x
  2. Step 2: Convert to fraction form
    634,380/1,394,937 = 1,394,937/x
  3. Step 3: Cross multiply
    634,380x = 1,394,937 × 1,394,937
  4. Step 4: Simplify right side
    634,380x = 1,945,849,233,969
  5. Step 5: Solve for x
    x = 1,945,849,233,969/634,380
  6. Step 6: Final answer
    x = 3,067,324.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.