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Finding the Third Proportional to 812,576 and 1,750,027

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Solution

The third proportional to 812,576 and 1,750,027 is: 3,768,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,576 : 1,750,027 = 1,750,027 : x
  2. Step 2: Convert to fraction form
    812,576/1,750,027 = 1,750,027/x
  3. Step 3: Cross multiply
    812,576x = 1,750,027 × 1,750,027
  4. Step 4: Simplify right side
    812,576x = 3,062,594,500,729
  5. Step 5: Solve for x
    x = 3,062,594,500,729/812,576
  6. Step 6: Final answer
    x = 3,768,994.53

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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.