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Finding the Third Proportional to 624,144.38 and 1,344,704.63

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Solution

The third proportional to 624,144.38 and 1,344,704.63 is: 2,897,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,144.38 : 1,344,704.63 = 1,344,704.63 : x
  2. Step 2: Convert to fraction form
    624,144.38/1,344,704.63 = 1,344,704.63/x
  3. Step 3: Cross multiply
    624,144.38x = 1,344,704.63 × 1,344,704.63
  4. Step 4: Simplify right side
    624,144.38x = 1,808,230,528,496.39
  5. Step 5: Solve for x
    x = 1,808,230,528,496.39/624,144.38
  6. Step 6: Final answer
    x = 2,897,135.02

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