Finding the Third Proportional to 460,122.75 and 984,214.13
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Solution
The third proportional to 460,122.75 and 984,214.13 is: 2,105,258.75
Step by Step Solution
- Step 1: Write the proportion equation
460,122.75 : 984,214.13 = 984,214.13 : x - Step 2: Convert to fraction form
460,122.75/984,214.13 = 984,214.13/x - Step 3: Cross multiply
460,122.75x = 984,214.13 × 984,214.13 - Step 4: Simplify right side
460,122.75x = 968,677,443,849.52 - Step 5: Solve for x
x = 968,677,443,849.52/460,122.75 - Step 6: Final answer
x = 2,105,258.75
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.