Finding the Third Proportional to 828,048 and 1,782,940
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Solution
The third proportional to 828,048 and 1,782,940 is: 3,838,998.52
Step by Step Solution
- Step 1: Write the proportion equation
828,048 : 1,782,940 = 1,782,940 : x - Step 2: Convert to fraction form
828,048/1,782,940 = 1,782,940/x - Step 3: Cross multiply
828,048x = 1,782,940 × 1,782,940 - Step 4: Simplify right side
828,048x = 3,178,875,043,600 - Step 5: Solve for x
x = 3,178,875,043,600/828,048 - Step 6: Final answer
x = 3,838,998.52
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.