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Finding the Third Proportional to 1,040,848.73 and 1,633,153.64

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Solution

The third proportional to 1,040,848.73 and 1,633,153.64 is: 2,562,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,848.73 : 1,633,153.64 = 1,633,153.64 : x
  2. Step 2: Convert to fraction form
    1,040,848.73/1,633,153.64 = 1,633,153.64/x
  3. Step 3: Cross multiply
    1,040,848.73x = 1,633,153.64 × 1,633,153.64
  4. Step 4: Simplify right side
    1,040,848.73x = 2,667,190,813,886.69
  5. Step 5: Solve for x
    x = 2,667,190,813,886.69/1,040,848.73
  6. Step 6: Final answer
    x = 2,562,515.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.