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Finding the Third Proportional to 964,048 and 2,099,744

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Solution

The third proportional to 964,048 and 2,099,744 is: 4,573,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,048 : 2,099,744 = 2,099,744 : x
  2. Step 2: Convert to fraction form
    964,048/2,099,744 = 2,099,744/x
  3. Step 3: Cross multiply
    964,048x = 2,099,744 × 2,099,744
  4. Step 4: Simplify right side
    964,048x = 4,408,924,865,536
  5. Step 5: Solve for x
    x = 4,408,924,865,536/964,048
  6. Step 6: Final answer
    x = 4,573,345.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.