Finding the Third Proportional to 649,420.50 and 1,018,743
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Solution
The third proportional to 649,420.50 and 1,018,743 is: 1,598,097.53
Step by Step Solution
- Step 1: Write the proportion equation
649,420.50 : 1,018,743 = 1,018,743 : x - Step 2: Convert to fraction form
649,420.50/1,018,743 = 1,018,743/x - Step 3: Cross multiply
649,420.50x = 1,018,743 × 1,018,743 - Step 4: Simplify right side
649,420.50x = 1,037,837,300,049 - Step 5: Solve for x
x = 1,037,837,300,049/649,420.50 - Step 6: Final answer
x = 1,598,097.53
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.