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Finding the Third Proportional to 814,410 and 1,229,961

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Solution

The third proportional to 814,410 and 1,229,961 is: 1,857,546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,410 : 1,229,961 = 1,229,961 : x
  2. Step 2: Convert to fraction form
    814,410/1,229,961 = 1,229,961/x
  3. Step 3: Cross multiply
    814,410x = 1,229,961 × 1,229,961
  4. Step 4: Simplify right side
    814,410x = 1,512,804,061,521
  5. Step 5: Solve for x
    x = 1,512,804,061,521/814,410
  6. Step 6: Final answer
    x = 1,857,546.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.