Finding the Third Proportional to 478,405 and 1,025,498
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Solution
The third proportional to 478,405 and 1,025,498 is: 2,198,234.02
Step by Step Solution
- Step 1: Write the proportion equation
478,405 : 1,025,498 = 1,025,498 : x - Step 2: Convert to fraction form
478,405/1,025,498 = 1,025,498/x - Step 3: Cross multiply
478,405x = 1,025,498 × 1,025,498 - Step 4: Simplify right side
478,405x = 1,051,646,148,004 - Step 5: Solve for x
x = 1,051,646,148,004/478,405 - Step 6: Final answer
x = 2,198,234.02
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.