Finding the Third Proportional to 661,896 and 1,428,747
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Solution
The third proportional to 661,896 and 1,428,747 is: 3,084,046.42
Step by Step Solution
- Step 1: Write the proportion equation
661,896 : 1,428,747 = 1,428,747 : x - Step 2: Convert to fraction form
661,896/1,428,747 = 1,428,747/x - Step 3: Cross multiply
661,896x = 1,428,747 × 1,428,747 - Step 4: Simplify right side
661,896x = 2,041,317,990,009 - Step 5: Solve for x
x = 2,041,317,990,009/661,896 - Step 6: Final answer
x = 3,084,046.42
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.