Finding the Third Proportional to 407,974 and 872,082
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Solution
The third proportional to 407,974 and 872,082 is: 1,864,155.60
Step by Step Solution
- Step 1: Write the proportion equation
407,974 : 872,082 = 872,082 : x - Step 2: Convert to fraction form
407,974/872,082 = 872,082/x - Step 3: Cross multiply
407,974x = 872,082 × 872,082 - Step 4: Simplify right side
407,974x = 760,527,014,724 - Step 5: Solve for x
x = 760,527,014,724/407,974 - Step 6: Final answer
x = 1,864,155.60
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.