Finding the Third Proportional to 449,384 and 978,112
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Solution
The third proportional to 449,384 and 978,112 is: 2,128,921.11
Step by Step Solution
- Step 1: Write the proportion equation
449,384 : 978,112 = 978,112 : x - Step 2: Convert to fraction form
449,384/978,112 = 978,112/x - Step 3: Cross multiply
449,384x = 978,112 × 978,112 - Step 4: Simplify right side
449,384x = 956,703,084,544 - Step 5: Solve for x
x = 956,703,084,544/449,384 - Step 6: Final answer
x = 2,128,921.11
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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.