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Finding the Third Proportional to 624,054 and 1,277,676

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Solution

The third proportional to 624,054 and 1,277,676 is: 2,615,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,054 : 1,277,676 = 1,277,676 : x
  2. Step 2: Convert to fraction form
    624,054/1,277,676 = 1,277,676/x
  3. Step 3: Cross multiply
    624,054x = 1,277,676 × 1,277,676
  4. Step 4: Simplify right side
    624,054x = 1,632,455,960,976
  5. Step 5: Solve for x
    x = 1,632,455,960,976/624,054
  6. Step 6: Final answer
    x = 2,615,888.95

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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.