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Finding the Third Proportional to 1,435,736 and 3,020,200

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Solution

The third proportional to 1,435,736 and 3,020,200 is: 6,353,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,736 : 3,020,200 = 3,020,200 : x
  2. Step 2: Convert to fraction form
    1,435,736/3,020,200 = 3,020,200/x
  3. Step 3: Cross multiply
    1,435,736x = 3,020,200 × 3,020,200
  4. Step 4: Simplify right side
    1,435,736x = 9,121,608,040,000
  5. Step 5: Solve for x
    x = 9,121,608,040,000/1,435,736
  6. Step 6: Final answer
    x = 6,353,262.74

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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.