Finding the Third Proportional to 415,296 and 909,216
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Solution
The third proportional to 415,296 and 909,216 is: 1,990,565.13
Step by Step Solution
- Step 1: Write the proportion equation
415,296 : 909,216 = 909,216 : x - Step 2: Convert to fraction form
415,296/909,216 = 909,216/x - Step 3: Cross multiply
415,296x = 909,216 × 909,216 - Step 4: Simplify right side
415,296x = 826,673,734,656 - Step 5: Solve for x
x = 826,673,734,656/415,296 - Step 6: Final answer
x = 1,990,565.13
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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.