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Finding the Third Proportional to 682,585 and 918,898

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Solution

The third proportional to 682,585 and 918,898 is: 1,237,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,585 : 918,898 = 918,898 : x
  2. Step 2: Convert to fraction form
    682,585/918,898 = 918,898/x
  3. Step 3: Cross multiply
    682,585x = 918,898 × 918,898
  4. Step 4: Simplify right side
    682,585x = 844,373,534,404
  5. Step 5: Solve for x
    x = 844,373,534,404/682,585
  6. Step 6: Final answer
    x = 1,237,023.28

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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.