Finding the Third Proportional to 442,747 and 978,524
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Solution
The third proportional to 442,747 and 978,524 is: 2,162,655.46
Step by Step Solution
- Step 1: Write the proportion equation
442,747 : 978,524 = 978,524 : x - Step 2: Convert to fraction form
442,747/978,524 = 978,524/x - Step 3: Cross multiply
442,747x = 978,524 × 978,524 - Step 4: Simplify right side
442,747x = 957,509,218,576 - Step 5: Solve for x
x = 957,509,218,576/442,747 - Step 6: Final answer
x = 2,162,655.46
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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.