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Finding the Third Proportional to 2,099,794.50 and 4,497,003

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Solution

The third proportional to 2,099,794.50 and 4,497,003 is: 9,630,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,794.50 : 4,497,003 = 4,497,003 : x
  2. Step 2: Convert to fraction form
    2,099,794.50/4,497,003 = 4,497,003/x
  3. Step 3: Cross multiply
    2,099,794.50x = 4,497,003 × 4,497,003
  4. Step 4: Simplify right side
    2,099,794.50x = 20,223,035,982,009
  5. Step 5: Solve for x
    x = 20,223,035,982,009/2,099,794.50
  6. Step 6: Final answer
    x = 9,630,959.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.