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Finding the Third Proportional to 821,994 and 1,801,128

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Solution

The third proportional to 821,994 and 1,801,128 is: 3,946,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,994 : 1,801,128 = 1,801,128 : x
  2. Step 2: Convert to fraction form
    821,994/1,801,128 = 1,801,128/x
  3. Step 3: Cross multiply
    821,994x = 1,801,128 × 1,801,128
  4. Step 4: Simplify right side
    821,994x = 3,244,062,072,384
  5. Step 5: Solve for x
    x = 3,244,062,072,384/821,994
  6. Step 6: Final answer
    x = 3,946,576.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.