Finding the Third Proportional to 650,938 and 1,407,157
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Solution
The third proportional to 650,938 and 1,407,157 is: 3,041,903.87
Step by Step Solution
- Step 1: Write the proportion equation
650,938 : 1,407,157 = 1,407,157 : x - Step 2: Convert to fraction form
650,938/1,407,157 = 1,407,157/x - Step 3: Cross multiply
650,938x = 1,407,157 × 1,407,157 - Step 4: Simplify right side
650,938x = 1,980,090,822,649 - Step 5: Solve for x
x = 1,980,090,822,649/650,938 - Step 6: Final answer
x = 3,041,903.87
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.