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Finding the Third Proportional to 767,043 and 1,668,384

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Solution

The third proportional to 767,043 and 1,668,384 is: 3,628,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,043 : 1,668,384 = 1,668,384 : x
  2. Step 2: Convert to fraction form
    767,043/1,668,384 = 1,668,384/x
  3. Step 3: Cross multiply
    767,043x = 1,668,384 × 1,668,384
  4. Step 4: Simplify right side
    767,043x = 2,783,505,171,456
  5. Step 5: Solve for x
    x = 2,783,505,171,456/767,043
  6. Step 6: Final answer
    x = 3,628,877.61

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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.