Finding the Third Proportional to 654,922 and 978,339
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Solution
The third proportional to 654,922 and 978,339 is: 1,461,467.47
Step by Step Solution
- Step 1: Write the proportion equation
654,922 : 978,339 = 978,339 : x - Step 2: Convert to fraction form
654,922/978,339 = 978,339/x - Step 3: Cross multiply
654,922x = 978,339 × 978,339 - Step 4: Simplify right side
654,922x = 957,147,198,921 - Step 5: Solve for x
x = 957,147,198,921/654,922 - Step 6: Final answer
x = 1,461,467.47
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.