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Finding the Third Proportional to 959,902 and 2,073,744

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Solution

The third proportional to 959,902 and 2,073,744 is: 4,480,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,902 : 2,073,744 = 2,073,744 : x
  2. Step 2: Convert to fraction form
    959,902/2,073,744 = 2,073,744/x
  3. Step 3: Cross multiply
    959,902x = 2,073,744 × 2,073,744
  4. Step 4: Simplify right side
    959,902x = 4,300,414,177,536
  5. Step 5: Solve for x
    x = 4,300,414,177,536/959,902
  6. Step 6: Final answer
    x = 4,480,055.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.