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Finding the Third Proportional to 2,122,190 and 4,603,257

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Solution

The third proportional to 2,122,190 and 4,603,257 is: 9,984,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,190 : 4,603,257 = 4,603,257 : x
  2. Step 2: Convert to fraction form
    2,122,190/4,603,257 = 4,603,257/x
  3. Step 3: Cross multiply
    2,122,190x = 4,603,257 × 4,603,257
  4. Step 4: Simplify right side
    2,122,190x = 21,189,975,008,049
  5. Step 5: Solve for x
    x = 21,189,975,008,049/2,122,190
  6. Step 6: Final answer
    x = 9,984,956.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.