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Finding the Third Proportional to 645,049 and 967,817

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Solution

The third proportional to 645,049 and 967,817 is: 1,452,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,049 : 967,817 = 967,817 : x
  2. Step 2: Convert to fraction form
    645,049/967,817 = 967,817/x
  3. Step 3: Cross multiply
    645,049x = 967,817 × 967,817
  4. Step 4: Simplify right side
    645,049x = 936,669,745,489
  5. Step 5: Solve for x
    x = 936,669,745,489/645,049
  6. Step 6: Final answer
    x = 1,452,090.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.