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Finding the Third Proportional to 951,214 and 1,981,160

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Solution

The third proportional to 951,214 and 1,981,160 is: 4,126,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,214 : 1,981,160 = 1,981,160 : x
  2. Step 2: Convert to fraction form
    951,214/1,981,160 = 1,981,160/x
  3. Step 3: Cross multiply
    951,214x = 1,981,160 × 1,981,160
  4. Step 4: Simplify right side
    951,214x = 3,924,994,945,600
  5. Step 5: Solve for x
    x = 3,924,994,945,600/951,214
  6. Step 6: Final answer
    x = 4,126,300.65

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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.