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Finding the Third Proportional to 2,134,008 and 3,201,052.50

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Solution

The third proportional to 2,134,008 and 3,201,052.50 is: 4,801,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,008 : 3,201,052.50 = 3,201,052.50 : x
  2. Step 2: Convert to fraction form
    2,134,008/3,201,052.50 = 3,201,052.50/x
  3. Step 3: Cross multiply
    2,134,008x = 3,201,052.50 × 3,201,052.50
  4. Step 4: Simplify right side
    2,134,008x = 10,246,737,107,756.25
  5. Step 5: Solve for x
    x = 10,246,737,107,756.25/2,134,008
  6. Step 6: Final answer
    x = 4,801,639.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.