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Finding the Third Proportional to 438,894 and 958,212

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Solution

The third proportional to 438,894 and 958,212 is: 2,092,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,894 : 958,212 = 958,212 : x
  2. Step 2: Convert to fraction form
    438,894/958,212 = 958,212/x
  3. Step 3: Cross multiply
    438,894x = 958,212 × 958,212
  4. Step 4: Simplify right side
    438,894x = 918,170,236,944
  5. Step 5: Solve for x
    x = 918,170,236,944/438,894
  6. Step 6: Final answer
    x = 2,092,009.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.