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Finding the Third Proportional to 613,938 and 1,291,500

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Solution

The third proportional to 613,938 and 1,291,500 is: 2,716,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,938 : 1,291,500 = 1,291,500 : x
  2. Step 2: Convert to fraction form
    613,938/1,291,500 = 1,291,500/x
  3. Step 3: Cross multiply
    613,938x = 1,291,500 × 1,291,500
  4. Step 4: Simplify right side
    613,938x = 1,667,972,250,000
  5. Step 5: Solve for x
    x = 1,667,972,250,000/613,938
  6. Step 6: Final answer
    x = 2,716,841.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.