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Finding the Third Proportional to 682,467 and 1,476,856.50

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Solution

The third proportional to 682,467 and 1,476,856.50 is: 3,195,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,467 : 1,476,856.50 = 1,476,856.50 : x
  2. Step 2: Convert to fraction form
    682,467/1,476,856.50 = 1,476,856.50/x
  3. Step 3: Cross multiply
    682,467x = 1,476,856.50 × 1,476,856.50
  4. Step 4: Simplify right side
    682,467x = 2,181,105,121,592.25
  5. Step 5: Solve for x
    x = 2,181,105,121,592.25/682,467
  6. Step 6: Final answer
    x = 3,195,912.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.