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Finding the Third Proportional to 2,584,405 and 3,801,969

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Solution

The third proportional to 2,584,405 and 3,801,969 is: 5,593,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,405 : 3,801,969 = 3,801,969 : x
  2. Step 2: Convert to fraction form
    2,584,405/3,801,969 = 3,801,969/x
  3. Step 3: Cross multiply
    2,584,405x = 3,801,969 × 3,801,969
  4. Step 4: Simplify right side
    2,584,405x = 14,454,968,276,961
  5. Step 5: Solve for x
    x = 14,454,968,276,961/2,584,405
  6. Step 6: Final answer
    x = 5,593,151.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.