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Finding the Third Proportional to 624,057 and 1,277,682

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Solution

The third proportional to 624,057 and 1,277,682 is: 2,615,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,057 : 1,277,682 = 1,277,682 : x
  2. Step 2: Convert to fraction form
    624,057/1,277,682 = 1,277,682/x
  3. Step 3: Cross multiply
    624,057x = 1,277,682 × 1,277,682
  4. Step 4: Simplify right side
    624,057x = 1,632,471,293,124
  5. Step 5: Solve for x
    x = 1,632,471,293,124/624,057
  6. Step 6: Final answer
    x = 2,615,900.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.