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Finding the Third Proportional to 903,415.50 and 1,783,983

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Solution

The third proportional to 903,415.50 and 1,783,983 is: 3,522,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,415.50 : 1,783,983 = 1,783,983 : x
  2. Step 2: Convert to fraction form
    903,415.50/1,783,983 = 1,783,983/x
  3. Step 3: Cross multiply
    903,415.50x = 1,783,983 × 1,783,983
  4. Step 4: Simplify right side
    903,415.50x = 3,182,595,344,289
  5. Step 5: Solve for x
    x = 3,182,595,344,289/903,415.50
  6. Step 6: Final answer
    x = 3,522,847.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.