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Finding the Third Proportional to 701,928 and 1,437,120

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Solution

The third proportional to 701,928 and 1,437,120 is: 2,942,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,928 : 1,437,120 = 1,437,120 : x
  2. Step 2: Convert to fraction form
    701,928/1,437,120 = 1,437,120/x
  3. Step 3: Cross multiply
    701,928x = 1,437,120 × 1,437,120
  4. Step 4: Simplify right side
    701,928x = 2,065,313,894,400
  5. Step 5: Solve for x
    x = 2,065,313,894,400/701,928
  6. Step 6: Final answer
    x = 2,942,344.36

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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.