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Finding the Third Proportional to 665,652 and 1,458,012

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Solution

The third proportional to 665,652 and 1,458,012 is: 3,193,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,652 : 1,458,012 = 1,458,012 : x
  2. Step 2: Convert to fraction form
    665,652/1,458,012 = 1,458,012/x
  3. Step 3: Cross multiply
    665,652x = 1,458,012 × 1,458,012
  4. Step 4: Simplify right side
    665,652x = 2,125,798,992,144
  5. Step 5: Solve for x
    x = 2,125,798,992,144/665,652
  6. Step 6: Final answer
    x = 3,193,559.09

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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.