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Finding the Third Proportional to 1,285,960 and 2,749,072

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Solution

The third proportional to 1,285,960 and 2,749,072 is: 5,876,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,960 : 2,749,072 = 2,749,072 : x
  2. Step 2: Convert to fraction form
    1,285,960/2,749,072 = 2,749,072/x
  3. Step 3: Cross multiply
    1,285,960x = 2,749,072 × 2,749,072
  4. Step 4: Simplify right side
    1,285,960x = 7,557,396,861,184
  5. Step 5: Solve for x
    x = 7,557,396,861,184/1,285,960
  6. Step 6: Final answer
    x = 5,876,852.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.