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Finding the Third Proportional to 726,170 and 1,084,880

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Solution

The third proportional to 726,170 and 1,084,880 is: 1,620,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,170 : 1,084,880 = 1,084,880 : x
  2. Step 2: Convert to fraction form
    726,170/1,084,880 = 1,084,880/x
  3. Step 3: Cross multiply
    726,170x = 1,084,880 × 1,084,880
  4. Step 4: Simplify right side
    726,170x = 1,176,964,614,400
  5. Step 5: Solve for x
    x = 1,176,964,614,400/726,170
  6. Step 6: Final answer
    x = 1,620,783.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.