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Finding the Third Proportional to 1,580,022 and 2,383,974

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Solution

The third proportional to 1,580,022 and 2,383,974 is: 3,596,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,022 : 2,383,974 = 2,383,974 : x
  2. Step 2: Convert to fraction form
    1,580,022/2,383,974 = 2,383,974/x
  3. Step 3: Cross multiply
    1,580,022x = 2,383,974 × 2,383,974
  4. Step 4: Simplify right side
    1,580,022x = 5,683,332,032,676
  5. Step 5: Solve for x
    x = 5,683,332,032,676/1,580,022
  6. Step 6: Final answer
    x = 3,596,995.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.