Finding the Third Proportional to 501,320 and 1,043,947
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Solution
The third proportional to 501,320 and 1,043,947 is: 2,173,911.55
Step by Step Solution
- Step 1: Write the proportion equation
501,320 : 1,043,947 = 1,043,947 : x - Step 2: Convert to fraction form
501,320/1,043,947 = 1,043,947/x - Step 3: Cross multiply
501,320x = 1,043,947 × 1,043,947 - Step 4: Simplify right side
501,320x = 1,089,825,338,809 - Step 5: Solve for x
x = 1,089,825,338,809/501,320 - Step 6: Final answer
x = 2,173,911.55
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.