Finding the Third Proportional to 415,647 and 893,453
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Solution
The third proportional to 415,647 and 893,453 is: 1,920,519.73
Step by Step Solution
- Step 1: Write the proportion equation
415,647 : 893,453 = 893,453 : x - Step 2: Convert to fraction form
415,647/893,453 = 893,453/x - Step 3: Cross multiply
415,647x = 893,453 × 893,453 - Step 4: Simplify right side
415,647x = 798,258,263,209 - Step 5: Solve for x
x = 798,258,263,209/415,647 - Step 6: Final answer
x = 1,920,519.73
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.