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Finding the Third Proportional to 403,866 and 834,012

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Solution

The third proportional to 403,866 and 834,012 is: 1,722,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,866 : 834,012 = 834,012 : x
  2. Step 2: Convert to fraction form
    403,866/834,012 = 834,012/x
  3. Step 3: Cross multiply
    403,866x = 834,012 × 834,012
  4. Step 4: Simplify right side
    403,866x = 695,576,016,144
  5. Step 5: Solve for x
    x = 695,576,016,144/403,866
  6. Step 6: Final answer
    x = 1,722,294.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.