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Finding the Third Proportional to 422,343 and 919,044

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Solution

The third proportional to 422,343 and 919,044 is: 1,999,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,343 : 919,044 = 919,044 : x
  2. Step 2: Convert to fraction form
    422,343/919,044 = 919,044/x
  3. Step 3: Cross multiply
    422,343x = 919,044 × 919,044
  4. Step 4: Simplify right side
    422,343x = 844,641,873,936
  5. Step 5: Solve for x
    x = 844,641,873,936/422,343
  6. Step 6: Final answer
    x = 1,999,895.52

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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.