Finding the Third Proportional to 455,860 and 978,180
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Solution
The third proportional to 455,860 and 978,180 is: 2,098,969.23
Step by Step Solution
- Step 1: Write the proportion equation
455,860 : 978,180 = 978,180 : x - Step 2: Convert to fraction form
455,860/978,180 = 978,180/x - Step 3: Cross multiply
455,860x = 978,180 × 978,180 - Step 4: Simplify right side
455,860x = 956,836,112,400 - Step 5: Solve for x
x = 956,836,112,400/455,860 - Step 6: Final answer
x = 2,098,969.23
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.