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Finding the Third Proportional to 1,823,427 and 3,967,938

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Solution

The third proportional to 1,823,427 and 3,967,938 is: 8,634,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,427 : 3,967,938 = 3,967,938 : x
  2. Step 2: Convert to fraction form
    1,823,427/3,967,938 = 3,967,938/x
  3. Step 3: Cross multiply
    1,823,427x = 3,967,938 × 3,967,938
  4. Step 4: Simplify right side
    1,823,427x = 15,744,531,971,844
  5. Step 5: Solve for x
    x = 15,744,531,971,844/1,823,427
  6. Step 6: Final answer
    x = 8,634,583.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.