Finding the Third Proportional to 449,649 and 978,596
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Solution
The third proportional to 449,649 and 978,596 is: 2,129,772.63
Step by Step Solution
- Step 1: Write the proportion equation
449,649 : 978,596 = 978,596 : x - Step 2: Convert to fraction form
449,649/978,596 = 978,596/x - Step 3: Cross multiply
449,649x = 978,596 × 978,596 - Step 4: Simplify right side
449,649x = 957,650,131,216 - Step 5: Solve for x
x = 957,650,131,216/449,649 - Step 6: Final answer
x = 2,129,772.63
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.