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Finding the Third Proportional to 682,632 and 918,954

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Solution

The third proportional to 682,632 and 918,954 is: 1,237,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,632 : 918,954 = 918,954 : x
  2. Step 2: Convert to fraction form
    682,632/918,954 = 918,954/x
  3. Step 3: Cross multiply
    682,632x = 918,954 × 918,954
  4. Step 4: Simplify right side
    682,632x = 844,476,454,116
  5. Step 5: Solve for x
    x = 844,476,454,116/682,632
  6. Step 6: Final answer
    x = 1,237,088.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.