Finding the Third Proportional to 460,308 and 984,582
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Solution
The third proportional to 460,308 and 984,582 is: 2,105,984.94
Step by Step Solution
- Step 1: Write the proportion equation
460,308 : 984,582 = 984,582 : x - Step 2: Convert to fraction form
460,308/984,582 = 984,582/x - Step 3: Cross multiply
460,308x = 984,582 × 984,582 - Step 4: Simplify right side
460,308x = 969,401,714,724 - Step 5: Solve for x
x = 969,401,714,724/460,308 - Step 6: Final answer
x = 2,105,984.94
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.