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Finding the Third Proportional to 451,070 and 939,456

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Solution

The third proportional to 451,070 and 939,456 is: 1,956,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,070 : 939,456 = 939,456 : x
  2. Step 2: Convert to fraction form
    451,070/939,456 = 939,456/x
  3. Step 3: Cross multiply
    451,070x = 939,456 × 939,456
  4. Step 4: Simplify right side
    451,070x = 882,577,575,936
  5. Step 5: Solve for x
    x = 882,577,575,936/451,070
  6. Step 6: Final answer
    x = 1,956,631.07

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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.