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Finding the Third Proportional to 1,447,677 and 3,133,647

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Solution

The third proportional to 1,447,677 and 3,133,647 is: 6,783,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,677 : 3,133,647 = 3,133,647 : x
  2. Step 2: Convert to fraction form
    1,447,677/3,133,647 = 3,133,647/x
  3. Step 3: Cross multiply
    1,447,677x = 3,133,647 × 3,133,647
  4. Step 4: Simplify right side
    1,447,677x = 9,819,743,520,609
  5. Step 5: Solve for x
    x = 9,819,743,520,609/1,447,677
  6. Step 6: Final answer
    x = 6,783,103.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.