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Finding the Third Proportional to 2,099,530 and 4,605,840

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Solution

The third proportional to 2,099,530 and 4,605,840 is: 10,104,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,530 : 4,605,840 = 4,605,840 : x
  2. Step 2: Convert to fraction form
    2,099,530/4,605,840 = 4,605,840/x
  3. Step 3: Cross multiply
    2,099,530x = 4,605,840 × 4,605,840
  4. Step 4: Simplify right side
    2,099,530x = 21,213,762,105,600
  5. Step 5: Solve for x
    x = 21,213,762,105,600/2,099,530
  6. Step 6: Final answer
    x = 10,104,052.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.