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Finding the Third Proportional to 613,091 and 1,340,230

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Solution

The third proportional to 613,091 and 1,340,230 is: 2,929,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,091 : 1,340,230 = 1,340,230 : x
  2. Step 2: Convert to fraction form
    613,091/1,340,230 = 1,340,230/x
  3. Step 3: Cross multiply
    613,091x = 1,340,230 × 1,340,230
  4. Step 4: Simplify right side
    613,091x = 1,796,216,452,900
  5. Step 5: Solve for x
    x = 1,796,216,452,900/613,091
  6. Step 6: Final answer
    x = 2,929,771.36

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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.