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Finding the Third Proportional to 504,996 and 1,105,005

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Solution

The third proportional to 504,996 and 1,105,005 is: 2,417,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,996 : 1,105,005 = 1,105,005 : x
  2. Step 2: Convert to fraction form
    504,996/1,105,005 = 1,105,005/x
  3. Step 3: Cross multiply
    504,996x = 1,105,005 × 1,105,005
  4. Step 4: Simplify right side
    504,996x = 1,221,036,050,025
  5. Step 5: Solve for x
    x = 1,221,036,050,025/504,996
  6. Step 6: Final answer
    x = 2,417,912.32

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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.