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Finding the Third Proportional to 2,378,772.56 and 3,830,188.78

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Solution

The third proportional to 2,378,772.56 and 3,830,188.78 is: 6,167,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,772.56 : 3,830,188.78 = 3,830,188.78 : x
  2. Step 2: Convert to fraction form
    2,378,772.56/3,830,188.78 = 3,830,188.78/x
  3. Step 3: Cross multiply
    2,378,772.56x = 3,830,188.78 × 3,830,188.78
  4. Step 4: Simplify right side
    2,378,772.56x = 14,670,346,100,013.36
  5. Step 5: Solve for x
    x = 14,670,346,100,013.36/2,378,772.56
  6. Step 6: Final answer
    x = 6,167,191.57

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.