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Finding the Third Proportional to 505,007 and 1,105,035

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Solution

The third proportional to 505,007 and 1,105,035 is: 2,417,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,007 : 1,105,035 = 1,105,035 : x
  2. Step 2: Convert to fraction form
    505,007/1,105,035 = 1,105,035/x
  3. Step 3: Cross multiply
    505,007x = 1,105,035 × 1,105,035
  4. Step 4: Simplify right side
    505,007x = 1,221,102,351,225
  5. Step 5: Solve for x
    x = 1,221,102,351,225/505,007
  6. Step 6: Final answer
    x = 2,417,990.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.