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Finding the Third Proportional to 2,105,189 and 4,630,282

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Solution

The third proportional to 2,105,189 and 4,630,282 is: 10,184,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,189 : 4,630,282 = 4,630,282 : x
  2. Step 2: Convert to fraction form
    2,105,189/4,630,282 = 4,630,282/x
  3. Step 3: Cross multiply
    2,105,189x = 4,630,282 × 4,630,282
  4. Step 4: Simplify right side
    2,105,189x = 21,439,511,399,524
  5. Step 5: Solve for x
    x = 21,439,511,399,524/2,105,189
  6. Step 6: Final answer
    x = 10,184,126.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.