Finding the Third Proportional to 493,432 and 1,025,646
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Solution
The third proportional to 493,432 and 1,025,646 is: 2,131,904.13
Step by Step Solution
- Step 1: Write the proportion equation
493,432 : 1,025,646 = 1,025,646 : x - Step 2: Convert to fraction form
493,432/1,025,646 = 1,025,646/x - Step 3: Cross multiply
493,432x = 1,025,646 × 1,025,646 - Step 4: Simplify right side
493,432x = 1,051,949,717,316 - Step 5: Solve for x
x = 1,051,949,717,316/493,432 - Step 6: Final answer
x = 2,131,904.13
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.