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Finding the Third Proportional to 624,745.41 and 1,328,321.53

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Solution

The third proportional to 624,745.41 and 1,328,321.53 is: 2,824,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,745.41 : 1,328,321.53 = 1,328,321.53 : x
  2. Step 2: Convert to fraction form
    624,745.41/1,328,321.53 = 1,328,321.53/x
  3. Step 3: Cross multiply
    624,745.41x = 1,328,321.53 × 1,328,321.53
  4. Step 4: Simplify right side
    624,745.41x = 1,764,438,090,382.34
  5. Step 5: Solve for x
    x = 1,764,438,090,382.34/624,745.41
  6. Step 6: Final answer
    x = 2,824,251.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.