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Finding the Third Proportional to 812,692 and 1,760,984

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Solution

The third proportional to 812,692 and 1,760,984 is: 3,815,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,692 : 1,760,984 = 1,760,984 : x
  2. Step 2: Convert to fraction form
    812,692/1,760,984 = 1,760,984/x
  3. Step 3: Cross multiply
    812,692x = 1,760,984 × 1,760,984
  4. Step 4: Simplify right side
    812,692x = 3,101,064,648,256
  5. Step 5: Solve for x
    x = 3,101,064,648,256/812,692
  6. Step 6: Final answer
    x = 3,815,793.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.