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Finding the Third Proportional to 468,240 and 1,007,500

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Solution

The third proportional to 468,240 and 1,007,500 is: 2,167,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,240 : 1,007,500 = 1,007,500 : x
  2. Step 2: Convert to fraction form
    468,240/1,007,500 = 1,007,500/x
  3. Step 3: Cross multiply
    468,240x = 1,007,500 × 1,007,500
  4. Step 4: Simplify right side
    468,240x = 1,015,056,250,000
  5. Step 5: Solve for x
    x = 1,015,056,250,000/468,240
  6. Step 6: Final answer
    x = 2,167,811.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.