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Finding the Third Proportional to 434,956 and 955,448

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Solution

The third proportional to 434,956 and 955,448 is: 2,098,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,956 : 955,448 = 955,448 : x
  2. Step 2: Convert to fraction form
    434,956/955,448 = 955,448/x
  3. Step 3: Cross multiply
    434,956x = 955,448 × 955,448
  4. Step 4: Simplify right side
    434,956x = 912,880,880,704
  5. Step 5: Solve for x
    x = 912,880,880,704/434,956
  6. Step 6: Final answer
    x = 2,098,789.03

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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.