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Finding the Third Proportional to 414,099 and 887,247

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Solution

The third proportional to 414,099 and 887,247 is: 1,901,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,099 : 887,247 = 887,247 : x
  2. Step 2: Convert to fraction form
    414,099/887,247 = 887,247/x
  3. Step 3: Cross multiply
    414,099x = 887,247 × 887,247
  4. Step 4: Simplify right side
    414,099x = 787,207,239,009
  5. Step 5: Solve for x
    x = 787,207,239,009/414,099
  6. Step 6: Final answer
    x = 1,901,012.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.