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Finding the Third Proportional to 666,384 and 1,451,088

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Solution

The third proportional to 666,384 and 1,451,088 is: 3,159,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,384 : 1,451,088 = 1,451,088 : x
  2. Step 2: Convert to fraction form
    666,384/1,451,088 = 1,451,088/x
  3. Step 3: Cross multiply
    666,384x = 1,451,088 × 1,451,088
  4. Step 4: Simplify right side
    666,384x = 2,105,656,383,744
  5. Step 5: Solve for x
    x = 2,105,656,383,744/666,384
  6. Step 6: Final answer
    x = 3,159,824.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.