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Finding the Third Proportional to 757,172 and 1,619,400

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Solution

The third proportional to 757,172 and 1,619,400 is: 3,463,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,172 : 1,619,400 = 1,619,400 : x
  2. Step 2: Convert to fraction form
    757,172/1,619,400 = 1,619,400/x
  3. Step 3: Cross multiply
    757,172x = 1,619,400 × 1,619,400
  4. Step 4: Simplify right side
    757,172x = 2,622,456,360,000
  5. Step 5: Solve for x
    x = 2,622,456,360,000/757,172
  6. Step 6: Final answer
    x = 3,463,488.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.