Finding the Third Proportional to 505,830 and 1,058,427
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Solution
The third proportional to 505,830 and 1,058,427 is: 2,214,711.89
Step by Step Solution
- Step 1: Write the proportion equation
505,830 : 1,058,427 = 1,058,427 : x - Step 2: Convert to fraction form
505,830/1,058,427 = 1,058,427/x - Step 3: Cross multiply
505,830x = 1,058,427 × 1,058,427 - Step 4: Simplify right side
505,830x = 1,120,267,714,329 - Step 5: Solve for x
x = 1,120,267,714,329/505,830 - Step 6: Final answer
x = 2,214,711.89
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.