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Finding the Third Proportional to 1,842,932 and 3,833,004

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Solution

The third proportional to 1,842,932 and 3,833,004 is: 7,972,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,932 : 3,833,004 = 3,833,004 : x
  2. Step 2: Convert to fraction form
    1,842,932/3,833,004 = 3,833,004/x
  3. Step 3: Cross multiply
    1,842,932x = 3,833,004 × 3,833,004
  4. Step 4: Simplify right side
    1,842,932x = 14,691,919,664,016
  5. Step 5: Solve for x
    x = 14,691,919,664,016/1,842,932
  6. Step 6: Final answer
    x = 7,972,035.68

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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.