Finding the Third Proportional to 474,648 and 1,036,824
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Solution
The third proportional to 474,648 and 1,036,824 is: 2,264,844.70
Step by Step Solution
- Step 1: Write the proportion equation
474,648 : 1,036,824 = 1,036,824 : x - Step 2: Convert to fraction form
474,648/1,036,824 = 1,036,824/x - Step 3: Cross multiply
474,648x = 1,036,824 × 1,036,824 - Step 4: Simplify right side
474,648x = 1,075,004,006,976 - Step 5: Solve for x
x = 1,075,004,006,976/474,648 - Step 6: Final answer
x = 2,264,844.70
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.