Finding the Third Proportional to 733,774 and 978,460
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Solution
The third proportional to 733,774 and 978,460 is: 1,304,739.57
Step by Step Solution
- Step 1: Write the proportion equation
733,774 : 978,460 = 978,460 : x - Step 2: Convert to fraction form
733,774/978,460 = 978,460/x - Step 3: Cross multiply
733,774x = 978,460 × 978,460 - Step 4: Simplify right side
733,774x = 957,383,971,600 - Step 5: Solve for x
x = 957,383,971,600/733,774 - Step 6: Final answer
x = 1,304,739.57
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.