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Finding the Third Proportional to 2,021,774 and 4,447,900

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Solution

The third proportional to 2,021,774 and 4,447,900 is: 9,785,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,774 : 4,447,900 = 4,447,900 : x
  2. Step 2: Convert to fraction form
    2,021,774/4,447,900 = 4,447,900/x
  3. Step 3: Cross multiply
    2,021,774x = 4,447,900 × 4,447,900
  4. Step 4: Simplify right side
    2,021,774x = 19,783,814,410,000
  5. Step 5: Solve for x
    x = 19,783,814,410,000/2,021,774
  6. Step 6: Final answer
    x = 9,785,373.84

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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.