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Finding the Third Proportional to 1,567,397 and 3,201,214

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Solution

The third proportional to 1,567,397 and 3,201,214 is: 6,538,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,397 : 3,201,214 = 3,201,214 : x
  2. Step 2: Convert to fraction form
    1,567,397/3,201,214 = 3,201,214/x
  3. Step 3: Cross multiply
    1,567,397x = 3,201,214 × 3,201,214
  4. Step 4: Simplify right side
    1,567,397x = 10,247,771,073,796
  5. Step 5: Solve for x
    x = 10,247,771,073,796/1,567,397
  6. Step 6: Final answer
    x = 6,538,082.61

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