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Finding the Third Proportional to 2,049,092 and 4,413,832

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Solution

The third proportional to 2,049,092 and 4,413,832 is: 9,507,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,092 : 4,413,832 = 4,413,832 : x
  2. Step 2: Convert to fraction form
    2,049,092/4,413,832 = 4,413,832/x
  3. Step 3: Cross multiply
    2,049,092x = 4,413,832 × 4,413,832
  4. Step 4: Simplify right side
    2,049,092x = 19,481,912,924,224
  5. Step 5: Solve for x
    x = 19,481,912,924,224/2,049,092
  6. Step 6: Final answer
    x = 9,507,583.32

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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.