Finding the Third Proportional to 450,648 and 978,326
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Solution
The third proportional to 450,648 and 978,326 is: 2,123,878.86
Step by Step Solution
- Step 1: Write the proportion equation
450,648 : 978,326 = 978,326 : x - Step 2: Convert to fraction form
450,648/978,326 = 978,326/x - Step 3: Cross multiply
450,648x = 978,326 × 978,326 - Step 4: Simplify right side
450,648x = 957,121,762,276 - Step 5: Solve for x
x = 957,121,762,276/450,648 - Step 6: Final answer
x = 2,123,878.86
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.