Finding the Third Proportional to 415,688 and 897,796
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Solution
The third proportional to 415,688 and 897,796 is: 1,939,044.81
Step by Step Solution
- Step 1: Write the proportion equation
415,688 : 897,796 = 897,796 : x - Step 2: Convert to fraction form
415,688/897,796 = 897,796/x - Step 3: Cross multiply
415,688x = 897,796 × 897,796 - Step 4: Simplify right side
415,688x = 806,037,657,616 - Step 5: Solve for x
x = 806,037,657,616/415,688 - Step 6: Final answer
x = 1,939,044.81
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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.