Finding the Third Proportional to 456,096 and 978,608
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Solution
The third proportional to 456,096 and 978,608 is: 2,099,719.40
Step by Step Solution
- Step 1: Write the proportion equation
456,096 : 978,608 = 978,608 : x - Step 2: Convert to fraction form
456,096/978,608 = 978,608/x - Step 3: Cross multiply
456,096x = 978,608 × 978,608 - Step 4: Simplify right side
456,096x = 957,673,617,664 - Step 5: Solve for x
x = 957,673,617,664/456,096 - Step 6: Final answer
x = 2,099,719.40
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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.