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Finding the Third Proportional to 1,971,900 and 4,242,696

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Solution

The third proportional to 1,971,900 and 4,242,696 is: 9,128,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,900 : 4,242,696 = 4,242,696 : x
  2. Step 2: Convert to fraction form
    1,971,900/4,242,696 = 4,242,696/x
  3. Step 3: Cross multiply
    1,971,900x = 4,242,696 × 4,242,696
  4. Step 4: Simplify right side
    1,971,900x = 18,000,469,348,416
  5. Step 5: Solve for x
    x = 18,000,469,348,416/1,971,900
  6. Step 6: Final answer
    x = 9,128,489.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.