Finding the Third Proportional to 460,176 and 985,920
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Solution
The third proportional to 460,176 and 985,920 is: 2,112,318.43
Step by Step Solution
- Step 1: Write the proportion equation
460,176 : 985,920 = 985,920 : x - Step 2: Convert to fraction form
460,176/985,920 = 985,920/x - Step 3: Cross multiply
460,176x = 985,920 × 985,920 - Step 4: Simplify right side
460,176x = 972,038,246,400 - Step 5: Solve for x
x = 972,038,246,400/460,176 - Step 6: Final answer
x = 2,112,318.43
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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.