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Finding the Third Proportional to 1,946,692 and 3,986,696

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Solution

The third proportional to 1,946,692 and 3,986,696 is: 8,164,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,692 : 3,986,696 = 3,986,696 : x
  2. Step 2: Convert to fraction form
    1,946,692/3,986,696 = 3,986,696/x
  3. Step 3: Cross multiply
    1,946,692x = 3,986,696 × 3,986,696
  4. Step 4: Simplify right side
    1,946,692x = 15,893,744,996,416
  5. Step 5: Solve for x
    x = 15,893,744,996,416/1,946,692
  6. Step 6: Final answer
    x = 8,164,488.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.