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Finding the Third Proportional to 665,667 and 1,458,045

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Solution

The third proportional to 665,667 and 1,458,045 is: 3,193,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,667 : 1,458,045 = 1,458,045 : x
  2. Step 2: Convert to fraction form
    665,667/1,458,045 = 1,458,045/x
  3. Step 3: Cross multiply
    665,667x = 1,458,045 × 1,458,045
  4. Step 4: Simplify right side
    665,667x = 2,125,895,222,025
  5. Step 5: Solve for x
    x = 2,125,895,222,025/665,667
  6. Step 6: Final answer
    x = 3,193,631.68

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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.