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Finding the Third Proportional to 667,039 and 1,458,636

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Solution

The third proportional to 667,039 and 1,458,636 is: 3,189,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,039 : 1,458,636 = 1,458,636 : x
  2. Step 2: Convert to fraction form
    667,039/1,458,636 = 1,458,636/x
  3. Step 3: Cross multiply
    667,039x = 1,458,636 × 1,458,636
  4. Step 4: Simplify right side
    667,039x = 2,127,618,980,496
  5. Step 5: Solve for x
    x = 2,127,618,980,496/667,039
  6. Step 6: Final answer
    x = 3,189,647.05

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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.