Finding the Third Proportional to 413,584 and 893,192
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Solution
The third proportional to 413,584 and 893,192 is: 1,928,971.98
Step by Step Solution
- Step 1: Write the proportion equation
413,584 : 893,192 = 893,192 : x - Step 2: Convert to fraction form
413,584/893,192 = 893,192/x - Step 3: Cross multiply
413,584x = 893,192 × 893,192 - Step 4: Simplify right side
413,584x = 797,791,948,864 - Step 5: Solve for x
x = 797,791,948,864/413,584 - Step 6: Final answer
x = 1,928,971.98
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.