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Finding the Third Proportional to 726,952 and 1,483,568

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Solution

The third proportional to 726,952 and 1,483,568 is: 3,027,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,952 : 1,483,568 = 1,483,568 : x
  2. Step 2: Convert to fraction form
    726,952/1,483,568 = 1,483,568/x
  3. Step 3: Cross multiply
    726,952x = 1,483,568 × 1,483,568
  4. Step 4: Simplify right side
    726,952x = 2,200,974,010,624
  5. Step 5: Solve for x
    x = 2,200,974,010,624/726,952
  6. Step 6: Final answer
    x = 3,027,674.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.