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Finding the Third Proportional to 950,828 and 2,088,256

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Solution

The third proportional to 950,828 and 2,088,256 is: 4,586,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,828 : 2,088,256 = 2,088,256 : x
  2. Step 2: Convert to fraction form
    950,828/2,088,256 = 2,088,256/x
  3. Step 3: Cross multiply
    950,828x = 2,088,256 × 2,088,256
  4. Step 4: Simplify right side
    950,828x = 4,360,813,121,536
  5. Step 5: Solve for x
    x = 4,360,813,121,536/950,828
  6. Step 6: Final answer
    x = 4,586,332.25

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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.