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Finding the Third Proportional to 613,234 and 1,340,468

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Solution

The third proportional to 613,234 and 1,340,468 is: 2,930,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,234 : 1,340,468 = 1,340,468 : x
  2. Step 2: Convert to fraction form
    613,234/1,340,468 = 1,340,468/x
  3. Step 3: Cross multiply
    613,234x = 1,340,468 × 1,340,468
  4. Step 4: Simplify right side
    613,234x = 1,796,854,459,024
  5. Step 5: Solve for x
    x = 1,796,854,459,024/613,234
  6. Step 6: Final answer
    x = 2,930,128.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.