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Finding the Third Proportional to 624,542.27 and 1,362,022.59

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Solution

The third proportional to 624,542.27 and 1,362,022.59 is: 2,970,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,542.27 : 1,362,022.59 = 1,362,022.59 : x
  2. Step 2: Convert to fraction form
    624,542.27/1,362,022.59 = 1,362,022.59/x
  3. Step 3: Cross multiply
    624,542.27x = 1,362,022.59 × 1,362,022.59
  4. Step 4: Simplify right side
    624,542.27x = 1,855,105,545,885.48
  5. Step 5: Solve for x
    x = 1,855,105,545,885.48/624,542.27
  6. Step 6: Final answer
    x = 2,970,344.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.