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Finding the Third Proportional to 1,137,615.75 and 2,457,679.50

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Solution

The third proportional to 1,137,615.75 and 2,457,679.50 is: 5,309,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,615.75 : 2,457,679.50 = 2,457,679.50 : x
  2. Step 2: Convert to fraction form
    1,137,615.75/2,457,679.50 = 2,457,679.50/x
  3. Step 3: Cross multiply
    1,137,615.75x = 2,457,679.50 × 2,457,679.50
  4. Step 4: Simplify right side
    1,137,615.75x = 6,040,188,524,720.25
  5. Step 5: Solve for x
    x = 6,040,188,524,720.25/1,137,615.75
  6. Step 6: Final answer
    x = 5,309,515.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.