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Finding the Third Proportional to 835,906 and 1,972,933

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Solution

The third proportional to 835,906 and 1,972,933 is: 4,656,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,906 : 1,972,933 = 1,972,933 : x
  2. Step 2: Convert to fraction form
    835,906/1,972,933 = 1,972,933/x
  3. Step 3: Cross multiply
    835,906x = 1,972,933 × 1,972,933
  4. Step 4: Simplify right side
    835,906x = 3,892,464,622,489
  5. Step 5: Solve for x
    x = 3,892,464,622,489/835,906
  6. Step 6: Final answer
    x = 4,656,581.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.