Finding the Third Proportional to 510,783 and 1,074,503.25
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Solution
The third proportional to 510,783 and 1,074,503.25 is: 2,260,367.39
Step by Step Solution
- Step 1: Write the proportion equation
510,783 : 1,074,503.25 = 1,074,503.25 : x - Step 2: Convert to fraction form
510,783/1,074,503.25 = 1,074,503.25/x - Step 3: Cross multiply
510,783x = 1,074,503.25 × 1,074,503.25 - Step 4: Simplify right side
510,783x = 1,154,557,234,260.56 - Step 5: Solve for x
x = 1,154,557,234,260.56/510,783 - Step 6: Final answer
x = 2,260,367.39
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.