Finding the Third Proportional to 732,414 and 1,097,898
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Solution
The third proportional to 732,414 and 1,097,898 is: 1,645,763.21
Step by Step Solution
- Step 1: Write the proportion equation
732,414 : 1,097,898 = 1,097,898 : x - Step 2: Convert to fraction form
732,414/1,097,898 = 1,097,898/x - Step 3: Cross multiply
732,414x = 1,097,898 × 1,097,898 - Step 4: Simplify right side
732,414x = 1,205,380,018,404 - Step 5: Solve for x
x = 1,205,380,018,404/732,414 - Step 6: Final answer
x = 1,645,763.21
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.