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Finding the Third Proportional to 2,099,780 and 4,496,974

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Solution

The third proportional to 2,099,780 and 4,496,974 is: 9,630,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,780 : 4,496,974 = 4,496,974 : x
  2. Step 2: Convert to fraction form
    2,099,780/4,496,974 = 4,496,974/x
  3. Step 3: Cross multiply
    2,099,780x = 4,496,974 × 4,496,974
  4. Step 4: Simplify right side
    2,099,780x = 20,222,775,156,676
  5. Step 5: Solve for x
    x = 20,222,775,156,676/2,099,780
  6. Step 6: Final answer
    x = 9,630,901.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.