Finding the Third Proportional to 442,720 and 978,468
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Solution
The third proportional to 442,720 and 978,468 is: 2,162,539.82
Step by Step Solution
- Step 1: Write the proportion equation
442,720 : 978,468 = 978,468 : x - Step 2: Convert to fraction form
442,720/978,468 = 978,468/x - Step 3: Cross multiply
442,720x = 978,468 × 978,468 - Step 4: Simplify right side
442,720x = 957,399,627,024 - Step 5: Solve for x
x = 957,399,627,024/442,720 - Step 6: Final answer
x = 2,162,539.82
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.