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Finding the Third Proportional to 474,869 and 998,946

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Solution

The third proportional to 474,869 and 998,946 is: 2,101,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,869 : 998,946 = 998,946 : x
  2. Step 2: Convert to fraction form
    474,869/998,946 = 998,946/x
  3. Step 3: Cross multiply
    474,869x = 998,946 × 998,946
  4. Step 4: Simplify right side
    474,869x = 997,893,110,916
  5. Step 5: Solve for x
    x = 997,893,110,916/474,869
  6. Step 6: Final answer
    x = 2,101,407.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.