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Finding the Third Proportional to 678,096 and 1,024,022

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Solution

The third proportional to 678,096 and 1,024,022 is: 1,546,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,096 : 1,024,022 = 1,024,022 : x
  2. Step 2: Convert to fraction form
    678,096/1,024,022 = 1,024,022/x
  3. Step 3: Cross multiply
    678,096x = 1,024,022 × 1,024,022
  4. Step 4: Simplify right side
    678,096x = 1,048,621,056,484
  5. Step 5: Solve for x
    x = 1,048,621,056,484/678,096
  6. Step 6: Final answer
    x = 1,546,419.76

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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.