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Finding the Third Proportional to 794,728 and 1,188,968

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Solution

The third proportional to 794,728 and 1,188,968 is: 1,778,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,728 : 1,188,968 = 1,188,968 : x
  2. Step 2: Convert to fraction form
    794,728/1,188,968 = 1,188,968/x
  3. Step 3: Cross multiply
    794,728x = 1,188,968 × 1,188,968
  4. Step 4: Simplify right side
    794,728x = 1,413,644,905,024
  5. Step 5: Solve for x
    x = 1,413,644,905,024/794,728
  6. Step 6: Final answer
    x = 1,778,778.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.