Finding the Third Proportional to 492,960 and 1,009,284
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Solution
The third proportional to 492,960 and 1,009,284 is: 2,066,403.34
Step by Step Solution
- Step 1: Write the proportion equation
492,960 : 1,009,284 = 1,009,284 : x - Step 2: Convert to fraction form
492,960/1,009,284 = 1,009,284/x - Step 3: Cross multiply
492,960x = 1,009,284 × 1,009,284 - Step 4: Simplify right side
492,960x = 1,018,654,192,656 - Step 5: Solve for x
x = 1,018,654,192,656/492,960 - Step 6: Final answer
x = 2,066,403.34
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.