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Finding the Third Proportional to 507,414 and 1,115,268

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Solution

The third proportional to 507,414 and 1,115,268 is: 2,451,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,414 : 1,115,268 = 1,115,268 : x
  2. Step 2: Convert to fraction form
    507,414/1,115,268 = 1,115,268/x
  3. Step 3: Cross multiply
    507,414x = 1,115,268 × 1,115,268
  4. Step 4: Simplify right side
    507,414x = 1,243,822,711,824
  5. Step 5: Solve for x
    x = 1,243,822,711,824/507,414
  6. Step 6: Final answer
    x = 2,451,297.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.