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Finding the Third Proportional to 488,657.81 and 1,141,750.69

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Solution

The third proportional to 488,657.81 and 1,141,750.69 is: 2,667,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,657.81 : 1,141,750.69 = 1,141,750.69 : x
  2. Step 2: Convert to fraction form
    488,657.81/1,141,750.69 = 1,141,750.69/x
  3. Step 3: Cross multiply
    488,657.81x = 1,141,750.69 × 1,141,750.69
  4. Step 4: Simplify right side
    488,657.81x = 1,303,594,632,406.72
  5. Step 5: Solve for x
    x = 1,303,594,632,406.72/488,657.81
  6. Step 6: Final answer
    x = 2,667,704.47

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.