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Finding the Third Proportional to 678,919 and 1,468,093

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Solution

The third proportional to 678,919 and 1,468,093 is: 3,174,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,919 : 1,468,093 = 1,468,093 : x
  2. Step 2: Convert to fraction form
    678,919/1,468,093 = 1,468,093/x
  3. Step 3: Cross multiply
    678,919x = 1,468,093 × 1,468,093
  4. Step 4: Simplify right side
    678,919x = 2,155,297,056,649
  5. Step 5: Solve for x
    x = 2,155,297,056,649/678,919
  6. Step 6: Final answer
    x = 3,174,601.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.