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Finding the Third Proportional to 422,382 and 919,120

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Solution

The third proportional to 422,382 and 919,120 is: 2,000,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382 : 919,120 = 919,120 : x
  2. Step 2: Convert to fraction form
    422,382/919,120 = 919,120/x
  3. Step 3: Cross multiply
    422,382x = 919,120 × 919,120
  4. Step 4: Simplify right side
    422,382x = 844,781,574,400
  5. Step 5: Solve for x
    x = 844,781,574,400/422,382
  6. Step 6: Final answer
    x = 2,000,041.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.