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Finding the Third Proportional to 682,593 and 918,906

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Solution

The third proportional to 682,593 and 918,906 is: 1,237,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,593 : 918,906 = 918,906 : x
  2. Step 2: Convert to fraction form
    682,593/918,906 = 918,906/x
  3. Step 3: Cross multiply
    682,593x = 918,906 × 918,906
  4. Step 4: Simplify right side
    682,593x = 844,388,236,836
  5. Step 5: Solve for x
    x = 844,388,236,836/682,593
  6. Step 6: Final answer
    x = 1,237,030.32

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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.