Finding the Third Proportional to 580,016 and 1,284,452
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Solution
The third proportional to 580,016 and 1,284,452 is: 2,844,433.50
Step by Step Solution
- Step 1: Write the proportion equation
580,016 : 1,284,452 = 1,284,452 : x - Step 2: Convert to fraction form
580,016/1,284,452 = 1,284,452/x - Step 3: Cross multiply
580,016x = 1,284,452 × 1,284,452 - Step 4: Simplify right side
580,016x = 1,649,816,940,304 - Step 5: Solve for x
x = 1,649,816,940,304/580,016 - Step 6: Final answer
x = 2,844,433.50
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.