Finding the Third Proportional to 415,050 and 906,984
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Solution
The third proportional to 415,050 and 906,984 is: 1,981,978.02
Step by Step Solution
- Step 1: Write the proportion equation
415,050 : 906,984 = 906,984 : x - Step 2: Convert to fraction form
415,050/906,984 = 906,984/x - Step 3: Cross multiply
415,050x = 906,984 × 906,984 - Step 4: Simplify right side
415,050x = 822,619,976,256 - Step 5: Solve for x
x = 822,619,976,256/415,050 - Step 6: Final answer
x = 1,981,978.02
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.