Finding the Third Proportional to 649,582 and 1,417,208
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Solution
The third proportional to 649,582 and 1,417,208 is: 3,091,955.31
Step by Step Solution
- Step 1: Write the proportion equation
649,582 : 1,417,208 = 1,417,208 : x - Step 2: Convert to fraction form
649,582/1,417,208 = 1,417,208/x - Step 3: Cross multiply
649,582x = 1,417,208 × 1,417,208 - Step 4: Simplify right side
649,582x = 2,008,478,515,264 - Step 5: Solve for x
x = 2,008,478,515,264/649,582 - Step 6: Final answer
x = 3,091,955.31
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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.