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Finding the Third Proportional to 714,928 and 1,571,544

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Solution

The third proportional to 714,928 and 1,571,544 is: 3,454,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,928 : 1,571,544 = 1,571,544 : x
  2. Step 2: Convert to fraction form
    714,928/1,571,544 = 1,571,544/x
  3. Step 3: Cross multiply
    714,928x = 1,571,544 × 1,571,544
  4. Step 4: Simplify right side
    714,928x = 2,469,750,543,936
  5. Step 5: Solve for x
    x = 2,469,750,543,936/714,928
  6. Step 6: Final answer
    x = 3,454,544.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.