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Finding the Third Proportional to 2,557,120.50 and 3,970,147.50

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Solution

The third proportional to 2,557,120.50 and 3,970,147.50 is: 6,163,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,120.50 : 3,970,147.50 = 3,970,147.50 : x
  2. Step 2: Convert to fraction form
    2,557,120.50/3,970,147.50 = 3,970,147.50/x
  3. Step 3: Cross multiply
    2,557,120.50x = 3,970,147.50 × 3,970,147.50
  4. Step 4: Simplify right side
    2,557,120.50x = 15,762,071,171,756.25
  5. Step 5: Solve for x
    x = 15,762,071,171,756.25/2,557,120.50
  6. Step 6: Final answer
    x = 6,163,992.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.