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Finding the Third Proportional to 421,696 and 907,868

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Solution

The third proportional to 421,696 and 907,868 is: 1,954,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,696 : 907,868 = 907,868 : x
  2. Step 2: Convert to fraction form
    421,696/907,868 = 907,868/x
  3. Step 3: Cross multiply
    421,696x = 907,868 × 907,868
  4. Step 4: Simplify right side
    421,696x = 824,224,305,424
  5. Step 5: Solve for x
    x = 824,224,305,424/421,696
  6. Step 6: Final answer
    x = 1,954,546.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.