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Finding the Third Proportional to 451,109 and 939,536

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Solution

The third proportional to 451,109 and 939,536 is: 1,956,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,109 : 939,536 = 939,536 : x
  2. Step 2: Convert to fraction form
    451,109/939,536 = 939,536/x
  3. Step 3: Cross multiply
    451,109x = 939,536 × 939,536
  4. Step 4: Simplify right side
    451,109x = 882,727,895,296
  5. Step 5: Solve for x
    x = 882,727,895,296/451,109
  6. Step 6: Final answer
    x = 1,956,795.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.