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Finding the Third Proportional to 1,284,817 and 2,766,962

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Solution

The third proportional to 1,284,817 and 2,766,962 is: 5,958,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,817 : 2,766,962 = 2,766,962 : x
  2. Step 2: Convert to fraction form
    1,284,817/2,766,962 = 2,766,962/x
  3. Step 3: Cross multiply
    1,284,817x = 2,766,962 × 2,766,962
  4. Step 4: Simplify right side
    1,284,817x = 7,656,078,709,444
  5. Step 5: Solve for x
    x = 7,656,078,709,444/1,284,817
  6. Step 6: Final answer
    x = 5,958,886.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.