Finding the Third Proportional to 472,562 and 1,023,856
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Solution
The third proportional to 472,562 and 1,023,856 is: 2,218,293.28
Step by Step Solution
- Step 1: Write the proportion equation
472,562 : 1,023,856 = 1,023,856 : x - Step 2: Convert to fraction form
472,562/1,023,856 = 1,023,856/x - Step 3: Cross multiply
472,562x = 1,023,856 × 1,023,856 - Step 4: Simplify right side
472,562x = 1,048,281,108,736 - Step 5: Solve for x
x = 1,048,281,108,736/472,562 - Step 6: Final answer
x = 2,218,293.28
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.