Finding the Third Proportional to 397,089 and 856,386
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Solution
The third proportional to 397,089 and 856,386 is: 1,846,933.51
Step by Step Solution
- Step 1: Write the proportion equation
397,089 : 856,386 = 856,386 : x - Step 2: Convert to fraction form
397,089/856,386 = 856,386/x - Step 3: Cross multiply
397,089x = 856,386 × 856,386 - Step 4: Simplify right side
397,089x = 733,396,980,996 - Step 5: Solve for x
x = 733,396,980,996/397,089 - Step 6: Final answer
x = 1,846,933.51
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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.