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Finding the Third Proportional to 505,016 and 1,105,072

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Solution

The third proportional to 505,016 and 1,105,072 is: 2,418,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,016 : 1,105,072 = 1,105,072 : x
  2. Step 2: Convert to fraction form
    505,016/1,105,072 = 1,105,072/x
  3. Step 3: Cross multiply
    505,016x = 1,105,072 × 1,105,072
  4. Step 4: Simplify right side
    505,016x = 1,221,184,125,184
  5. Step 5: Solve for x
    x = 1,221,184,125,184/505,016
  6. Step 6: Final answer
    x = 2,418,109.77

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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.