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Finding the Third Proportional to 2,204,023 and 3,404,295

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Solution

The third proportional to 2,204,023 and 3,404,295 is: 5,258,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204,023 : 3,404,295 = 3,404,295 : x
  2. Step 2: Convert to fraction form
    2,204,023/3,404,295 = 3,404,295/x
  3. Step 3: Cross multiply
    2,204,023x = 3,404,295 × 3,404,295
  4. Step 4: Simplify right side
    2,204,023x = 11,589,224,447,025
  5. Step 5: Solve for x
    x = 11,589,224,447,025/2,204,023
  6. Step 6: Final answer
    x = 5,258,213.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.