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Finding the Third Proportional to 702,144 and 1,512,438.75

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Solution

The third proportional to 702,144 and 1,512,438.75 is: 3,257,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,144 : 1,512,438.75 = 1,512,438.75 : x
  2. Step 2: Convert to fraction form
    702,144/1,512,438.75 = 1,512,438.75/x
  3. Step 3: Cross multiply
    702,144x = 1,512,438.75 × 1,512,438.75
  4. Step 4: Simplify right side
    702,144x = 2,287,470,972,501.56
  5. Step 5: Solve for x
    x = 2,287,470,972,501.56/702,144
  6. Step 6: Final answer
    x = 3,257,837.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.