Finding the Third Proportional to 698,343 and 1,115,769
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Solution
The third proportional to 698,343 and 1,115,769 is: 1,782,706.29
Step by Step Solution
- Step 1: Write the proportion equation
698,343 : 1,115,769 = 1,115,769 : x - Step 2: Convert to fraction form
698,343/1,115,769 = 1,115,769/x - Step 3: Cross multiply
698,343x = 1,115,769 × 1,115,769 - Step 4: Simplify right side
698,343x = 1,244,940,461,361 - Step 5: Solve for x
x = 1,244,940,461,361/698,343 - Step 6: Final answer
x = 1,782,706.29
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.