Finding the Third Proportional to 829,905.75 and 1,276,205.63
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Solution
The third proportional to 829,905.75 and 1,276,205.63 is: 1,962,512.97
Step by Step Solution
- Step 1: Write the proportion equation
829,905.75 : 1,276,205.63 = 1,276,205.63 : x - Step 2: Convert to fraction form
829,905.75/1,276,205.63 = 1,276,205.63/x - Step 3: Cross multiply
829,905.75x = 1,276,205.63 × 1,276,205.63 - Step 4: Simplify right side
829,905.75x = 1,628,700,797,281.64 - Step 5: Solve for x
x = 1,628,700,797,281.64/829,905.75 - Step 6: Final answer
x = 1,962,512.97
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.