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Finding the Third Proportional to 746,010 and 1,609,956

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Solution

The third proportional to 746,010 and 1,609,956 is: 3,474,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,010 : 1,609,956 = 1,609,956 : x
  2. Step 2: Convert to fraction form
    746,010/1,609,956 = 1,609,956/x
  3. Step 3: Cross multiply
    746,010x = 1,609,956 × 1,609,956
  4. Step 4: Simplify right side
    746,010x = 2,591,958,321,936
  5. Step 5: Solve for x
    x = 2,591,958,321,936/746,010
  6. Step 6: Final answer
    x = 3,474,428.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.