Finding the Third Proportional to 470,022 and 1,033,356
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Solution
The third proportional to 470,022 and 1,033,356 is: 2,271,860.94
Step by Step Solution
- Step 1: Write the proportion equation
470,022 : 1,033,356 = 1,033,356 : x - Step 2: Convert to fraction form
470,022/1,033,356 = 1,033,356/x - Step 3: Cross multiply
470,022x = 1,033,356 × 1,033,356 - Step 4: Simplify right side
470,022x = 1,067,824,622,736 - Step 5: Solve for x
x = 1,067,824,622,736/470,022 - Step 6: Final answer
x = 2,271,860.94
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.