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Finding the Third Proportional to 752,992 and 1,653,440

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Solution

The third proportional to 752,992 and 1,653,440 is: 3,630,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,992 : 1,653,440 = 1,653,440 : x
  2. Step 2: Convert to fraction form
    752,992/1,653,440 = 1,653,440/x
  3. Step 3: Cross multiply
    752,992x = 1,653,440 × 1,653,440
  4. Step 4: Simplify right side
    752,992x = 2,733,863,833,600
  5. Step 5: Solve for x
    x = 2,733,863,833,600/752,992
  6. Step 6: Final answer
    x = 3,630,667.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.