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Finding the Third Proportional to 823,090 and 1,174,761

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Solution

The third proportional to 823,090 and 1,174,761 is: 1,676,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,090 : 1,174,761 = 1,174,761 : x
  2. Step 2: Convert to fraction form
    823,090/1,174,761 = 1,174,761/x
  3. Step 3: Cross multiply
    823,090x = 1,174,761 × 1,174,761
  4. Step 4: Simplify right side
    823,090x = 1,380,063,407,121
  5. Step 5: Solve for x
    x = 1,380,063,407,121/823,090
  6. Step 6: Final answer
    x = 1,676,685.91

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.