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Finding the Third Proportional to 624,120.75 and 1,344,378.38

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Solution

The third proportional to 624,120.75 and 1,344,378.38 is: 2,895,839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,120.75 : 1,344,378.38 = 1,344,378.38 : x
  2. Step 2: Convert to fraction form
    624,120.75/1,344,378.38 = 1,344,378.38/x
  3. Step 3: Cross multiply
    624,120.75x = 1,344,378.38 × 1,344,378.38
  4. Step 4: Simplify right side
    624,120.75x = 1,807,353,215,167.64
  5. Step 5: Solve for x
    x = 1,807,353,215,167.64/624,120.75
  6. Step 6: Final answer
    x = 2,895,839.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.