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Finding the Third Proportional to 640,784 and 1,364,390

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Solution

The third proportional to 640,784 and 1,364,390 is: 2,905,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,784 : 1,364,390 = 1,364,390 : x
  2. Step 2: Convert to fraction form
    640,784/1,364,390 = 1,364,390/x
  3. Step 3: Cross multiply
    640,784x = 1,364,390 × 1,364,390
  4. Step 4: Simplify right side
    640,784x = 1,861,560,072,100
  5. Step 5: Solve for x
    x = 1,861,560,072,100/640,784
  6. Step 6: Final answer
    x = 2,905,128.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.