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Finding the Third Proportional to 827,934 and 1,246,002

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Solution

The third proportional to 827,934 and 1,246,002 is: 1,875,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,934 : 1,246,002 = 1,246,002 : x
  2. Step 2: Convert to fraction form
    827,934/1,246,002 = 1,246,002/x
  3. Step 3: Cross multiply
    827,934x = 1,246,002 × 1,246,002
  4. Step 4: Simplify right side
    827,934x = 1,552,520,984,004
  5. Step 5: Solve for x
    x = 1,552,520,984,004/827,934
  6. Step 6: Final answer
    x = 1,875,174.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.