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Finding the Third Proportional to 666,406 and 1,451,132

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Solution

The third proportional to 666,406 and 1,451,132 is: 3,159,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,406 : 1,451,132 = 1,451,132 : x
  2. Step 2: Convert to fraction form
    666,406/1,451,132 = 1,451,132/x
  3. Step 3: Cross multiply
    666,406x = 1,451,132 × 1,451,132
  4. Step 4: Simplify right side
    666,406x = 2,105,784,081,424
  5. Step 5: Solve for x
    x = 2,105,784,081,424/666,406
  6. Step 6: Final answer
    x = 3,159,911.65

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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.