Finding the Third Proportional to 442,932 and 1,039,854
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Solution
The third proportional to 442,932 and 1,039,854 is: 2,441,224.25
Step by Step Solution
- Step 1: Write the proportion equation
442,932 : 1,039,854 = 1,039,854 : x - Step 2: Convert to fraction form
442,932/1,039,854 = 1,039,854/x - Step 3: Cross multiply
442,932x = 1,039,854 × 1,039,854 - Step 4: Simplify right side
442,932x = 1,081,296,341,316 - Step 5: Solve for x
x = 1,081,296,341,316/442,932 - Step 6: Final answer
x = 2,441,224.25
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.