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Finding the Third Proportional to 434,956 and 958,214

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Solution

The third proportional to 434,956 and 958,214 is: 2,110,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,956 : 958,214 = 958,214 : x
  2. Step 2: Convert to fraction form
    434,956/958,214 = 958,214/x
  3. Step 3: Cross multiply
    434,956x = 958,214 × 958,214
  4. Step 4: Simplify right side
    434,956x = 918,174,069,796
  5. Step 5: Solve for x
    x = 918,174,069,796/434,956
  6. Step 6: Final answer
    x = 2,110,958.51

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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.