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Finding the Third Proportional to 666,426 and 1,451,172

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Solution

The third proportional to 666,426 and 1,451,172 is: 3,159,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,426 : 1,451,172 = 1,451,172 : x
  2. Step 2: Convert to fraction form
    666,426/1,451,172 = 1,451,172/x
  3. Step 3: Cross multiply
    666,426x = 1,451,172 × 1,451,172
  4. Step 4: Simplify right side
    666,426x = 2,105,900,173,584
  5. Step 5: Solve for x
    x = 2,105,900,173,584/666,426
  6. Step 6: Final answer
    x = 3,159,991.02

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