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Finding the Third Proportional to 665,647 and 1,458,006

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Solution

The third proportional to 665,647 and 1,458,006 is: 3,193,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,647 : 1,458,006 = 1,458,006 : x
  2. Step 2: Convert to fraction form
    665,647/1,458,006 = 1,458,006/x
  3. Step 3: Cross multiply
    665,647x = 1,458,006 × 1,458,006
  4. Step 4: Simplify right side
    665,647x = 2,125,781,496,036
  5. Step 5: Solve for x
    x = 2,125,781,496,036/665,647
  6. Step 6: Final answer
    x = 3,193,556.79

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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.