Finding the Third Proportional to 576,422 and 920,846
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Solution
The third proportional to 576,422 and 920,846 is: 1,471,070.42
Step by Step Solution
- Step 1: Write the proportion equation
576,422 : 920,846 = 920,846 : x - Step 2: Convert to fraction form
576,422/920,846 = 920,846/x - Step 3: Cross multiply
576,422x = 920,846 × 920,846 - Step 4: Simplify right side
576,422x = 847,957,355,716 - Step 5: Solve for x
x = 847,957,355,716/576,422 - Step 6: Final answer
x = 1,471,070.42
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.