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Finding the Third Proportional to 902,661 and 1,946,385

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Solution

The third proportional to 902,661 and 1,946,385 is: 4,196,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,661 : 1,946,385 = 1,946,385 : x
  2. Step 2: Convert to fraction form
    902,661/1,946,385 = 1,946,385/x
  3. Step 3: Cross multiply
    902,661x = 1,946,385 × 1,946,385
  4. Step 4: Simplify right side
    902,661x = 3,788,414,568,225
  5. Step 5: Solve for x
    x = 3,788,414,568,225/902,661
  6. Step 6: Final answer
    x = 4,196,940.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.