Finding the Third Proportional to 498,294 and 1,169,811
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Solution
The third proportional to 498,294 and 1,169,811 is: 2,746,285.88
Step by Step Solution
- Step 1: Write the proportion equation
498,294 : 1,169,811 = 1,169,811 : x - Step 2: Convert to fraction form
498,294/1,169,811 = 1,169,811/x - Step 3: Cross multiply
498,294x = 1,169,811 × 1,169,811 - Step 4: Simplify right side
498,294x = 1,368,457,775,721 - Step 5: Solve for x
x = 1,368,457,775,721/498,294 - Step 6: Final answer
x = 2,746,285.88
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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.