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Finding the Third Proportional to 1,285,749 and 2,800,078

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Solution

The third proportional to 1,285,749 and 2,800,078 is: 6,097,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,749 : 2,800,078 = 2,800,078 : x
  2. Step 2: Convert to fraction form
    1,285,749/2,800,078 = 2,800,078/x
  3. Step 3: Cross multiply
    1,285,749x = 2,800,078 × 2,800,078
  4. Step 4: Simplify right side
    1,285,749x = 7,840,436,806,084
  5. Step 5: Solve for x
    x = 7,840,436,806,084/1,285,749
  6. Step 6: Final answer
    x = 6,097,952.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.