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Finding the Third Proportional to 624,042 and 1,216,980

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Solution

The third proportional to 624,042 and 1,216,980 is: 2,373,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,042 : 1,216,980 = 1,216,980 : x
  2. Step 2: Convert to fraction form
    624,042/1,216,980 = 1,216,980/x
  3. Step 3: Cross multiply
    624,042x = 1,216,980 × 1,216,980
  4. Step 4: Simplify right side
    624,042x = 1,481,040,320,400
  5. Step 5: Solve for x
    x = 1,481,040,320,400/624,042
  6. Step 6: Final answer
    x = 2,373,302.31

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.