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Finding the Third Proportional to 667,864 and 1,440,944

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Solution

The third proportional to 667,864 and 1,440,944 is: 3,108,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,864 : 1,440,944 = 1,440,944 : x
  2. Step 2: Convert to fraction form
    667,864/1,440,944 = 1,440,944/x
  3. Step 3: Cross multiply
    667,864x = 1,440,944 × 1,440,944
  4. Step 4: Simplify right side
    667,864x = 2,076,319,611,136
  5. Step 5: Solve for x
    x = 2,076,319,611,136/667,864
  6. Step 6: Final answer
    x = 3,108,895.84

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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.