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Finding the Third Proportional to 1,474,016 and 3,125,170

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Solution

The third proportional to 1,474,016 and 3,125,170 is: 6,625,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,016 : 3,125,170 = 3,125,170 : x
  2. Step 2: Convert to fraction form
    1,474,016/3,125,170 = 3,125,170/x
  3. Step 3: Cross multiply
    1,474,016x = 3,125,170 × 3,125,170
  4. Step 4: Simplify right side
    1,474,016x = 9,766,687,528,900
  5. Step 5: Solve for x
    x = 9,766,687,528,900/1,474,016
  6. Step 6: Final answer
    x = 6,625,903.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.