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Finding the Third Proportional to 507,530 and 1,105,468

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Solution

The third proportional to 507,530 and 1,105,468 is: 2,407,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,530 : 1,105,468 = 1,105,468 : x
  2. Step 2: Convert to fraction form
    507,530/1,105,468 = 1,105,468/x
  3. Step 3: Cross multiply
    507,530x = 1,105,468 × 1,105,468
  4. Step 4: Simplify right side
    507,530x = 1,222,059,499,024
  5. Step 5: Solve for x
    x = 1,222,059,499,024/507,530
  6. Step 6: Final answer
    x = 2,407,856.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.