Finding the Third Proportional to 829,762 and 1,281,496
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Solution
The third proportional to 829,762 and 1,281,496 is: 1,979,160.29
Step by Step Solution
- Step 1: Write the proportion equation
829,762 : 1,281,496 = 1,281,496 : x - Step 2: Convert to fraction form
829,762/1,281,496 = 1,281,496/x - Step 3: Cross multiply
829,762x = 1,281,496 × 1,281,496 - Step 4: Simplify right side
829,762x = 1,642,231,998,016 - Step 5: Solve for x
x = 1,642,231,998,016/829,762 - Step 6: Final answer
x = 1,979,160.29
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.