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Finding the Third Proportional to 368,903 and 870,497

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Solution

The third proportional to 368,903 and 870,497 is: 2,054,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,903 : 870,497 = 870,497 : x
  2. Step 2: Convert to fraction form
    368,903/870,497 = 870,497/x
  3. Step 3: Cross multiply
    368,903x = 870,497 × 870,497
  4. Step 4: Simplify right side
    368,903x = 757,765,027,009
  5. Step 5: Solve for x
    x = 757,765,027,009/368,903
  6. Step 6: Final answer
    x = 2,054,103.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.