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Finding the Third Proportional to 791,644 and 1,610,936

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Solution

The third proportional to 791,644 and 1,610,936 is: 3,278,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,644 : 1,610,936 = 1,610,936 : x
  2. Step 2: Convert to fraction form
    791,644/1,610,936 = 1,610,936/x
  3. Step 3: Cross multiply
    791,644x = 1,610,936 × 1,610,936
  4. Step 4: Simplify right side
    791,644x = 2,595,114,796,096
  5. Step 5: Solve for x
    x = 2,595,114,796,096/791,644
  6. Step 6: Final answer
    x = 3,278,133.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.