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Finding the Third Proportional to 2,099,448 and 4,504,596

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Solution

The third proportional to 2,099,448 and 4,504,596 is: 9,665,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,448 : 4,504,596 = 4,504,596 : x
  2. Step 2: Convert to fraction form
    2,099,448/4,504,596 = 4,504,596/x
  3. Step 3: Cross multiply
    2,099,448x = 4,504,596 × 4,504,596
  4. Step 4: Simplify right side
    2,099,448x = 20,291,385,123,216
  5. Step 5: Solve for x
    x = 20,291,385,123,216/2,099,448
  6. Step 6: Final answer
    x = 9,665,104.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.