Finding the Third Proportional to 654,906 and 978,318
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Solution
The third proportional to 654,906 and 978,318 is: 1,461,440.43
Step by Step Solution
- Step 1: Write the proportion equation
654,906 : 978,318 = 978,318 : x - Step 2: Convert to fraction form
654,906/978,318 = 978,318/x - Step 3: Cross multiply
654,906x = 978,318 × 978,318 - Step 4: Simplify right side
654,906x = 957,106,109,124 - Step 5: Solve for x
x = 957,106,109,124/654,906 - Step 6: Final answer
x = 1,461,440.43
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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.