Finding the Third Proportional to 449,402 and 978,144
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Solution
The third proportional to 449,402 and 978,144 is: 2,128,975.14
Step by Step Solution
- Step 1: Write the proportion equation
449,402 : 978,144 = 978,144 : x - Step 2: Convert to fraction form
449,402/978,144 = 978,144/x - Step 3: Cross multiply
449,402x = 978,144 × 978,144 - Step 4: Simplify right side
449,402x = 956,765,684,736 - Step 5: Solve for x
x = 956,765,684,736/449,402 - Step 6: Final answer
x = 2,128,975.14
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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.