Finding the Third Proportional to 826,100 and 1,262,895
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Solution
The third proportional to 826,100 and 1,262,895 is: 1,930,642.51
Step by Step Solution
- Step 1: Write the proportion equation
826,100 : 1,262,895 = 1,262,895 : x - Step 2: Convert to fraction form
826,100/1,262,895 = 1,262,895/x - Step 3: Cross multiply
826,100x = 1,262,895 × 1,262,895 - Step 4: Simplify right side
826,100x = 1,594,903,781,025 - Step 5: Solve for x
x = 1,594,903,781,025/826,100 - Step 6: Final answer
x = 1,930,642.51
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.