Finding the Third Proportional to 464,578 and 1,028,647
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Solution
The third proportional to 464,578 and 1,028,647 is: 2,277,582.34
Step by Step Solution
- Step 1: Write the proportion equation
464,578 : 1,028,647 = 1,028,647 : x - Step 2: Convert to fraction form
464,578/1,028,647 = 1,028,647/x - Step 3: Cross multiply
464,578x = 1,028,647 × 1,028,647 - Step 4: Simplify right side
464,578x = 1,058,114,650,609 - Step 5: Solve for x
x = 1,058,114,650,609/464,578 - Step 6: Final answer
x = 2,277,582.34
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.