Finding the Third Proportional to 616,821 and 1,427,852
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Solution
The third proportional to 616,821 and 1,427,852 is: 3,305,272.25
Step by Step Solution
- Step 1: Write the proportion equation
616,821 : 1,427,852 = 1,427,852 : x - Step 2: Convert to fraction form
616,821/1,427,852 = 1,427,852/x - Step 3: Cross multiply
616,821x = 1,427,852 × 1,427,852 - Step 4: Simplify right side
616,821x = 2,038,761,333,904 - Step 5: Solve for x
x = 2,038,761,333,904/616,821 - Step 6: Final answer
x = 3,305,272.25
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.