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Finding the Third Proportional to 868,097 and 1,904,274

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Solution

The third proportional to 868,097 and 1,904,274 is: 4,177,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,097 : 1,904,274 = 1,904,274 : x
  2. Step 2: Convert to fraction form
    868,097/1,904,274 = 1,904,274/x
  3. Step 3: Cross multiply
    868,097x = 1,904,274 × 1,904,274
  4. Step 4: Simplify right side
    868,097x = 3,626,259,467,076
  5. Step 5: Solve for x
    x = 3,626,259,467,076/868,097
  6. Step 6: Final answer
    x = 4,177,251.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.