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Finding the Third Proportional to 1,285,898.63 and 2,765,346.75

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Solution

The third proportional to 1,285,898.63 and 2,765,346.75 is: 5,946,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,898.63 : 2,765,346.75 = 2,765,346.75 : x
  2. Step 2: Convert to fraction form
    1,285,898.63/2,765,346.75 = 2,765,346.75/x
  3. Step 3: Cross multiply
    1,285,898.63x = 2,765,346.75 × 2,765,346.75
  4. Step 4: Simplify right side
    1,285,898.63x = 7,647,142,647,735.56
  5. Step 5: Solve for x
    x = 7,647,142,647,735.56/1,285,898.63
  6. Step 6: Final answer
    x = 5,946,924.97

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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.