Finding the Third Proportional to 948,284 and 1,416,807
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Solution
The third proportional to 948,284 and 1,416,807 is: 2,116,815.30
Step by Step Solution
- Step 1: Write the proportion equation
948,284 : 1,416,807 = 1,416,807 : x - Step 2: Convert to fraction form
948,284/1,416,807 = 1,416,807/x - Step 3: Cross multiply
948,284x = 1,416,807 × 1,416,807 - Step 4: Simplify right side
948,284x = 2,007,342,075,249 - Step 5: Solve for x
x = 2,007,342,075,249/948,284 - Step 6: Final answer
x = 2,116,815.30
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.