Finding the Third Proportional to 514,037,098 and 783,108,211
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Solution
The third proportional to 514,037,098 and 783,108,211 is: 1,193,023,757.47
Step by Step Solution
- Step 1: Write the proportion equation
514,037,098 : 783,108,211 = 783,108,211 : x - Step 2: Convert to fraction form
514,037,098/783,108,211 = 783,108,211/x - Step 3: Cross multiply
514,037,098x = 783,108,211 × 783,108,211 - Step 4: Simplify right side
514,037,098x = 613,258,470,135,620,480 - Step 5: Solve for x
x = 613,258,470,135,620,480/514,037,098 - Step 6: Final answer
x = 1,193,023,757.47
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.