Finding the Third Proportional to 505,826 and 1,058,412
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Solution
The third proportional to 505,826 and 1,058,412 is: 2,214,666.63
Step by Step Solution
- Step 1: Write the proportion equation
505,826 : 1,058,412 = 1,058,412 : x - Step 2: Convert to fraction form
505,826/1,058,412 = 1,058,412/x - Step 3: Cross multiply
505,826x = 1,058,412 × 1,058,412 - Step 4: Simplify right side
505,826x = 1,120,235,961,744 - Step 5: Solve for x
x = 1,120,235,961,744/505,826 - Step 6: Final answer
x = 2,214,666.63
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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.