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Finding the Third Proportional to 3,400,238.25 and 4,712,757.75

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Solution

The third proportional to 3,400,238.25 and 4,712,757.75 is: 6,531,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400,238.25 : 4,712,757.75 = 4,712,757.75 : x
  2. Step 2: Convert to fraction form
    3,400,238.25/4,712,757.75 = 4,712,757.75/x
  3. Step 3: Cross multiply
    3,400,238.25x = 4,712,757.75 × 4,712,757.75
  4. Step 4: Simplify right side
    3,400,238.25x = 22,210,085,610,185.06
  5. Step 5: Solve for x
    x = 22,210,085,610,185.06/3,400,238.25
  6. Step 6: Final answer
    x = 6,531,920.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.