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Finding the Third Proportional to 665,669 and 1,458,049

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Solution

The third proportional to 665,669 and 1,458,049 is: 3,193,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,669 : 1,458,049 = 1,458,049 : x
  2. Step 2: Convert to fraction form
    665,669/1,458,049 = 1,458,049/x
  3. Step 3: Cross multiply
    665,669x = 1,458,049 × 1,458,049
  4. Step 4: Simplify right side
    665,669x = 2,125,906,886,401
  5. Step 5: Solve for x
    x = 2,125,906,886,401/665,669
  6. Step 6: Final answer
    x = 3,193,639.61

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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.