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Finding the Third Proportional to 675,188 and 1,020,012

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Solution

The third proportional to 675,188 and 1,020,012 is: 1,540,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,188 : 1,020,012 = 1,020,012 : x
  2. Step 2: Convert to fraction form
    675,188/1,020,012 = 1,020,012/x
  3. Step 3: Cross multiply
    675,188x = 1,020,012 × 1,020,012
  4. Step 4: Simplify right side
    675,188x = 1,040,424,480,144
  5. Step 5: Solve for x
    x = 1,040,424,480,144/675,188
  6. Step 6: Final answer
    x = 1,540,940.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.