Finding the Third Proportional to 649,580 and 1,417,204
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Solution
The third proportional to 649,580 and 1,417,204 is: 3,091,947.38
Step by Step Solution
- Step 1: Write the proportion equation
649,580 : 1,417,204 = 1,417,204 : x - Step 2: Convert to fraction form
649,580/1,417,204 = 1,417,204/x - Step 3: Cross multiply
649,580x = 1,417,204 × 1,417,204 - Step 4: Simplify right side
649,580x = 2,008,467,177,616 - Step 5: Solve for x
x = 2,008,467,177,616/649,580 - Step 6: Final answer
x = 3,091,947.38
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.