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Finding the Third Proportional to 902,325 and 2,006,394

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Solution

The third proportional to 902,325 and 2,006,394 is: 4,461,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,325 : 2,006,394 = 2,006,394 : x
  2. Step 2: Convert to fraction form
    902,325/2,006,394 = 2,006,394/x
  3. Step 3: Cross multiply
    902,325x = 2,006,394 × 2,006,394
  4. Step 4: Simplify right side
    902,325x = 4,025,616,883,236
  5. Step 5: Solve for x
    x = 4,025,616,883,236/902,325
  6. Step 6: Final answer
    x = 4,461,382.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.