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Finding the Third Proportional to 972,568 and 2,022,448

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Solution

The third proportional to 972,568 and 2,022,448 is: 4,205,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,568 : 2,022,448 = 2,022,448 : x
  2. Step 2: Convert to fraction form
    972,568/2,022,448 = 2,022,448/x
  3. Step 3: Cross multiply
    972,568x = 2,022,448 × 2,022,448
  4. Step 4: Simplify right side
    972,568x = 4,090,295,912,704
  5. Step 5: Solve for x
    x = 4,090,295,912,704/972,568
  6. Step 6: Final answer
    x = 4,205,665.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.