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Finding the Third Proportional to 445,144 and 943,258

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Solution

The third proportional to 445,144 and 943,258 is: 1,998,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,144 : 943,258 = 943,258 : x
  2. Step 2: Convert to fraction form
    445,144/943,258 = 943,258/x
  3. Step 3: Cross multiply
    445,144x = 943,258 × 943,258
  4. Step 4: Simplify right side
    445,144x = 889,735,654,564
  5. Step 5: Solve for x
    x = 889,735,654,564/445,144
  6. Step 6: Final answer
    x = 1,998,759.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.