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Finding the Third Proportional to 3,134,652 and 4,783,052.25

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Solution

The third proportional to 3,134,652 and 4,783,052.25 is: 7,298,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,652 : 4,783,052.25 = 4,783,052.25 : x
  2. Step 2: Convert to fraction form
    3,134,652/4,783,052.25 = 4,783,052.25/x
  3. Step 3: Cross multiply
    3,134,652x = 4,783,052.25 × 4,783,052.25
  4. Step 4: Simplify right side
    3,134,652x = 22,877,588,826,230.06
  5. Step 5: Solve for x
    x = 22,877,588,826,230.06/3,134,652
  6. Step 6: Final answer
    x = 7,298,286.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.