Finding the Third Proportional to 442,708 and 978,446
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Solution
The third proportional to 442,708 and 978,446 is: 2,162,501.19
Step by Step Solution
- Step 1: Write the proportion equation
442,708 : 978,446 = 978,446 : x - Step 2: Convert to fraction form
442,708/978,446 = 978,446/x - Step 3: Cross multiply
442,708x = 978,446 × 978,446 - Step 4: Simplify right side
442,708x = 957,356,574,916 - Step 5: Solve for x
x = 957,356,574,916/442,708 - Step 6: Final answer
x = 2,162,501.19
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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.