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Finding the Third Proportional to 1,567,325 and 3,201,068

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Solution

The third proportional to 1,567,325 and 3,201,068 is: 6,537,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,325 : 3,201,068 = 3,201,068 : x
  2. Step 2: Convert to fraction form
    1,567,325/3,201,068 = 3,201,068/x
  3. Step 3: Cross multiply
    1,567,325x = 3,201,068 × 3,201,068
  4. Step 4: Simplify right side
    1,567,325x = 10,246,836,340,624
  5. Step 5: Solve for x
    x = 10,246,836,340,624/1,567,325
  6. Step 6: Final answer
    x = 6,537,786.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.