Finding the Third Proportional to 381,460,341 and 823,902,978
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Solution
The third proportional to 381,460,341 and 823,902,978 is: 1,779,519,504.91
Step by Step Solution
- Step 1: Write the proportion equation
381,460,341 : 823,902,978 = 823,902,978 : x - Step 2: Convert to fraction form
381,460,341/823,902,978 = 823,902,978/x - Step 3: Cross multiply
381,460,341x = 823,902,978 × 823,902,978 - Step 4: Simplify right side
381,460,341x = 678,816,117,157,268,480 - Step 5: Solve for x
x = 678,816,117,157,268,480/381,460,341 - Step 6: Final answer
x = 1,779,519,504.91
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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.