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Finding the Third Proportional to 1,420,229 and 1,997,647

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Solution

The third proportional to 1,420,229 and 1,997,647 is: 2,809,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,229 : 1,997,647 = 1,997,647 : x
  2. Step 2: Convert to fraction form
    1,420,229/1,997,647 = 1,997,647/x
  3. Step 3: Cross multiply
    1,420,229x = 1,997,647 × 1,997,647
  4. Step 4: Simplify right side
    1,420,229x = 3,990,593,536,609
  5. Step 5: Solve for x
    x = 3,990,593,536,609/1,420,229
  6. Step 6: Final answer
    x = 2,809,824.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.