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Finding the Third Proportional to 459,155.46 and 1,072,202.70

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Solution

The third proportional to 459,155.46 and 1,072,202.70 is: 2,503,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,155.46 : 1,072,202.70 = 1,072,202.70 : x
  2. Step 2: Convert to fraction form
    459,155.46/1,072,202.70 = 1,072,202.70/x
  3. Step 3: Cross multiply
    459,155.46x = 1,072,202.70 × 1,072,202.70
  4. Step 4: Simplify right side
    459,155.46x = 1,149,618,619,835.39
  5. Step 5: Solve for x
    x = 1,149,618,619,835.39/459,155.46
  6. Step 6: Final answer
    x = 2,503,767.72

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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.