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Finding the Third Proportional to 368,896 and 870,481

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Solution

The third proportional to 368,896 and 870,481 is: 2,054,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,896 : 870,481 = 870,481 : x
  2. Step 2: Convert to fraction form
    368,896/870,481 = 870,481/x
  3. Step 3: Cross multiply
    368,896x = 870,481 × 870,481
  4. Step 4: Simplify right side
    368,896x = 757,737,171,361
  5. Step 5: Solve for x
    x = 757,737,171,361/368,896
  6. Step 6: Final answer
    x = 2,054,067.19

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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.