Finding the Third Proportional to 415,494 and 910,044
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Solution
The third proportional to 415,494 and 910,044 is: 1,993,241.98
Step by Step Solution
- Step 1: Write the proportion equation
415,494 : 910,044 = 910,044 : x - Step 2: Convert to fraction form
415,494/910,044 = 910,044/x - Step 3: Cross multiply
415,494x = 910,044 × 910,044 - Step 4: Simplify right side
415,494x = 828,180,081,936 - Step 5: Solve for x
x = 828,180,081,936/415,494 - Step 6: Final answer
x = 1,993,241.98
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.