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Finding the Third Proportional to 1,022,085 and 2,150,100

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Solution

The third proportional to 1,022,085 and 2,150,100 is: 4,523,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,085 : 2,150,100 = 2,150,100 : x
  2. Step 2: Convert to fraction form
    1,022,085/2,150,100 = 2,150,100/x
  3. Step 3: Cross multiply
    1,022,085x = 2,150,100 × 2,150,100
  4. Step 4: Simplify right side
    1,022,085x = 4,622,930,010,000
  5. Step 5: Solve for x
    x = 4,622,930,010,000/1,022,085
  6. Step 6: Final answer
    x = 4,523,038.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.