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Finding the Third Proportional to 434,960 and 955,456

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Solution

The third proportional to 434,960 and 955,456 is: 2,098,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,960 : 955,456 = 955,456 : x
  2. Step 2: Convert to fraction form
    434,960/955,456 = 955,456/x
  3. Step 3: Cross multiply
    434,960x = 955,456 × 955,456
  4. Step 4: Simplify right side
    434,960x = 912,896,167,936
  5. Step 5: Solve for x
    x = 912,896,167,936/434,960
  6. Step 6: Final answer
    x = 2,098,804.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.