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Finding the Third Proportional to 647,225 and 1,408,079

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Solution

The third proportional to 647,225 and 1,408,079 is: 3,063,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,225 : 1,408,079 = 1,408,079 : x
  2. Step 2: Convert to fraction form
    647,225/1,408,079 = 1,408,079/x
  3. Step 3: Cross multiply
    647,225x = 1,408,079 × 1,408,079
  4. Step 4: Simplify right side
    647,225x = 1,982,686,470,241
  5. Step 5: Solve for x
    x = 1,982,686,470,241/647,225
  6. Step 6: Final answer
    x = 3,063,365.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.