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Finding the Third Proportional to 656,067 and 1,420,938

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Solution

The third proportional to 656,067 and 1,420,938 is: 3,077,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,067 : 1,420,938 = 1,420,938 : x
  2. Step 2: Convert to fraction form
    656,067/1,420,938 = 1,420,938/x
  3. Step 3: Cross multiply
    656,067x = 1,420,938 × 1,420,938
  4. Step 4: Simplify right side
    656,067x = 2,019,064,799,844
  5. Step 5: Solve for x
    x = 2,019,064,799,844/656,067
  6. Step 6: Final answer
    x = 3,077,528.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.