Finding the Third Proportional to 545,843 and 1,184,464
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Solution
The third proportional to 545,843 and 1,184,464 is: 2,570,253.66
Step by Step Solution
- Step 1: Write the proportion equation
545,843 : 1,184,464 = 1,184,464 : x - Step 2: Convert to fraction form
545,843/1,184,464 = 1,184,464/x - Step 3: Cross multiply
545,843x = 1,184,464 × 1,184,464 - Step 4: Simplify right side
545,843x = 1,402,954,967,296 - Step 5: Solve for x
x = 1,402,954,967,296/545,843 - Step 6: Final answer
x = 2,570,253.66
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.