Finding the Third Proportional to 649,923 and 1,402,605
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Solution
The third proportional to 649,923 and 1,402,605 is: 3,026,975.17
Step by Step Solution
- Step 1: Write the proportion equation
649,923 : 1,402,605 = 1,402,605 : x - Step 2: Convert to fraction form
649,923/1,402,605 = 1,402,605/x - Step 3: Cross multiply
649,923x = 1,402,605 × 1,402,605 - Step 4: Simplify right side
649,923x = 1,967,300,786,025 - Step 5: Solve for x
x = 1,967,300,786,025/649,923 - Step 6: Final answer
x = 3,026,975.17
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.