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Finding the Third Proportional to 665,871 and 1,467,467

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Solution

The third proportional to 665,871 and 1,467,467 is: 3,234,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,871 : 1,467,467 = 1,467,467 : x
  2. Step 2: Convert to fraction form
    665,871/1,467,467 = 1,467,467/x
  3. Step 3: Cross multiply
    665,871x = 1,467,467 × 1,467,467
  4. Step 4: Simplify right side
    665,871x = 2,153,459,396,089
  5. Step 5: Solve for x
    x = 2,153,459,396,089/665,871
  6. Step 6: Final answer
    x = 3,234,048.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.