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Finding the Third Proportional to 1,444,200 and 2,235,096

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Solution

The third proportional to 1,444,200 and 2,235,096 is: 3,459,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444,200 : 2,235,096 = 2,235,096 : x
  2. Step 2: Convert to fraction form
    1,444,200/2,235,096 = 2,235,096/x
  3. Step 3: Cross multiply
    1,444,200x = 2,235,096 × 2,235,096
  4. Step 4: Simplify right side
    1,444,200x = 4,995,654,129,216
  5. Step 5: Solve for x
    x = 4,995,654,129,216/1,444,200
  6. Step 6: Final answer
    x = 3,459,115.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.