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Finding the Third Proportional to 605,747 and 1,321,520

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Solution

The third proportional to 605,747 and 1,321,520 is: 2,883,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,747 : 1,321,520 = 1,321,520 : x
  2. Step 2: Convert to fraction form
    605,747/1,321,520 = 1,321,520/x
  3. Step 3: Cross multiply
    605,747x = 1,321,520 × 1,321,520
  4. Step 4: Simplify right side
    605,747x = 1,746,415,110,400
  5. Step 5: Solve for x
    x = 1,746,415,110,400/605,747
  6. Step 6: Final answer
    x = 2,883,076.78

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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.