Finding the Third Proportional to 770,530 and 1,022,406
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Solution
The third proportional to 770,530 and 1,022,406 is: 1,356,616.91
Step by Step Solution
- Step 1: Write the proportion equation
770,530 : 1,022,406 = 1,022,406 : x - Step 2: Convert to fraction form
770,530/1,022,406 = 1,022,406/x - Step 3: Cross multiply
770,530x = 1,022,406 × 1,022,406 - Step 4: Simplify right side
770,530x = 1,045,314,028,836 - Step 5: Solve for x
x = 1,045,314,028,836/770,530 - Step 6: Final answer
x = 1,356,616.91
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.