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Finding the Third Proportional to 505,005 and 1,105,031

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Solution

The third proportional to 505,005 and 1,105,031 is: 2,417,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,005 : 1,105,031 = 1,105,031 : x
  2. Step 2: Convert to fraction form
    505,005/1,105,031 = 1,105,031/x
  3. Step 3: Cross multiply
    505,005x = 1,105,031 × 1,105,031
  4. Step 4: Simplify right side
    505,005x = 1,221,093,510,961
  5. Step 5: Solve for x
    x = 1,221,093,510,961/505,005
  6. Step 6: Final answer
    x = 2,417,983.01

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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.