Finding the Third Proportional to 442,682 and 978,398
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Solution
The third proportional to 442,682 and 978,398 is: 2,162,416.02
Step by Step Solution
- Step 1: Write the proportion equation
442,682 : 978,398 = 978,398 : x - Step 2: Convert to fraction form
442,682/978,398 = 978,398/x - Step 3: Cross multiply
442,682x = 978,398 × 978,398 - Step 4: Simplify right side
442,682x = 957,262,646,404 - Step 5: Solve for x
x = 957,262,646,404/442,682 - Step 6: Final answer
x = 2,162,416.02
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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.