Finding the Third Proportional to 505,972 and 1,096,019
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Solution
The third proportional to 505,972 and 1,096,019 is: 2,374,158.35
Step by Step Solution
- Step 1: Write the proportion equation
505,972 : 1,096,019 = 1,096,019 : x - Step 2: Convert to fraction form
505,972/1,096,019 = 1,096,019/x - Step 3: Cross multiply
505,972x = 1,096,019 × 1,096,019 - Step 4: Simplify right side
505,972x = 1,201,257,648,361 - Step 5: Solve for x
x = 1,201,257,648,361/505,972 - Step 6: Final answer
x = 2,374,158.35
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.