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Finding the Third Proportional to 901,928 and 1,427,100

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Solution

The third proportional to 901,928 and 1,427,100 is: 2,258,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,928 : 1,427,100 = 1,427,100 : x
  2. Step 2: Convert to fraction form
    901,928/1,427,100 = 1,427,100/x
  3. Step 3: Cross multiply
    901,928x = 1,427,100 × 1,427,100
  4. Step 4: Simplify right side
    901,928x = 2,036,614,410,000
  5. Step 5: Solve for x
    x = 2,036,614,410,000/901,928
  6. Step 6: Final answer
    x = 2,258,067.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.