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Finding the Third Proportional to 682,508 and 1,006,266

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Solution

The third proportional to 682,508 and 1,006,266 is: 1,483,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,508 : 1,006,266 = 1,006,266 : x
  2. Step 2: Convert to fraction form
    682,508/1,006,266 = 1,006,266/x
  3. Step 3: Cross multiply
    682,508x = 1,006,266 × 1,006,266
  4. Step 4: Simplify right side
    682,508x = 1,012,571,262,756
  5. Step 5: Solve for x
    x = 1,012,571,262,756/682,508
  6. Step 6: Final answer
    x = 1,483,603.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.