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Finding the Third Proportional to 1,429,727 and 2,228,993

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Solution

The third proportional to 1,429,727 and 2,228,993 is: 3,475,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,727 : 2,228,993 = 2,228,993 : x
  2. Step 2: Convert to fraction form
    1,429,727/2,228,993 = 2,228,993/x
  3. Step 3: Cross multiply
    1,429,727x = 2,228,993 × 2,228,993
  4. Step 4: Simplify right side
    1,429,727x = 4,968,409,794,049
  5. Step 5: Solve for x
    x = 4,968,409,794,049/1,429,727
  6. Step 6: Final answer
    x = 3,475,075.87

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.