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Finding the Third Proportional to 1,780,157.25 and 3,923,356.50

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Solution

The third proportional to 1,780,157.25 and 3,923,356.50 is: 8,646,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,157.25 : 3,923,356.50 = 3,923,356.50 : x
  2. Step 2: Convert to fraction form
    1,780,157.25/3,923,356.50 = 3,923,356.50/x
  3. Step 3: Cross multiply
    1,780,157.25x = 3,923,356.50 × 3,923,356.50
  4. Step 4: Simplify right side
    1,780,157.25x = 15,392,726,226,092.25
  5. Step 5: Solve for x
    x = 15,392,726,226,092.25/1,780,157.25
  6. Step 6: Final answer
    x = 8,646,835.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.