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Finding the Third Proportional to 613,640 and 1,434,388

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Solution

The third proportional to 613,640 and 1,434,388 is: 3,352,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,640 : 1,434,388 = 1,434,388 : x
  2. Step 2: Convert to fraction form
    613,640/1,434,388 = 1,434,388/x
  3. Step 3: Cross multiply
    613,640x = 1,434,388 × 1,434,388
  4. Step 4: Simplify right side
    613,640x = 2,057,468,934,544
  5. Step 5: Solve for x
    x = 2,057,468,934,544/613,640
  6. Step 6: Final answer
    x = 3,352,892.47

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.