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Finding the Third Proportional to 667,852 and 1,440,920

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Solution

The third proportional to 667,852 and 1,440,920 is: 3,108,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,852 : 1,440,920 = 1,440,920 : x
  2. Step 2: Convert to fraction form
    667,852/1,440,920 = 1,440,920/x
  3. Step 3: Cross multiply
    667,852x = 1,440,920 × 1,440,920
  4. Step 4: Simplify right side
    667,852x = 2,076,250,446,400
  5. Step 5: Solve for x
    x = 2,076,250,446,400/667,852
  6. Step 6: Final answer
    x = 3,108,848.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.