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Finding the Third Proportional to 1,270,400 and 2,789,712

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Solution

The third proportional to 1,270,400 and 2,789,712 is: 6,126,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,400 : 2,789,712 = 2,789,712 : x
  2. Step 2: Convert to fraction form
    1,270,400/2,789,712 = 2,789,712/x
  3. Step 3: Cross multiply
    1,270,400x = 2,789,712 × 2,789,712
  4. Step 4: Simplify right side
    1,270,400x = 7,782,493,042,944
  5. Step 5: Solve for x
    x = 7,782,493,042,944/1,270,400
  6. Step 6: Final answer
    x = 6,126,017.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.