Finding the Third Proportional to 510,204 and 1,113,657
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Solution
The third proportional to 510,204 and 1,113,657 is: 2,430,854.94
Step by Step Solution
- Step 1: Write the proportion equation
510,204 : 1,113,657 = 1,113,657 : x - Step 2: Convert to fraction form
510,204/1,113,657 = 1,113,657/x - Step 3: Cross multiply
510,204x = 1,113,657 × 1,113,657 - Step 4: Simplify right side
510,204x = 1,240,231,913,649 - Step 5: Solve for x
x = 1,240,231,913,649/510,204 - Step 6: Final answer
x = 2,430,854.94
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.