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Finding the Third Proportional to 613,092 and 1,340,232

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Solution

The third proportional to 613,092 and 1,340,232 is: 2,929,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,092 : 1,340,232 = 1,340,232 : x
  2. Step 2: Convert to fraction form
    613,092/1,340,232 = 1,340,232/x
  3. Step 3: Cross multiply
    613,092x = 1,340,232 × 1,340,232
  4. Step 4: Simplify right side
    613,092x = 1,796,221,813,824
  5. Step 5: Solve for x
    x = 1,796,221,813,824/613,092
  6. Step 6: Final answer
    x = 2,929,775.33

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Why These Related Problems?

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