Finding the Third Proportional to 442,724 and 978,476
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Solution
The third proportional to 442,724 and 978,476 is: 2,162,555.64
Step by Step Solution
- Step 1: Write the proportion equation
442,724 : 978,476 = 978,476 : x - Step 2: Convert to fraction form
442,724/978,476 = 978,476/x - Step 3: Cross multiply
442,724x = 978,476 × 978,476 - Step 4: Simplify right side
442,724x = 957,415,282,576 - Step 5: Solve for x
x = 957,415,282,576/442,724 - Step 6: Final answer
x = 2,162,555.64
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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.