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Finding the Third Proportional to 1,597,213 and 3,463,913

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Solution

The third proportional to 1,597,213 and 3,463,913 is: 7,512,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,213 : 3,463,913 = 3,463,913 : x
  2. Step 2: Convert to fraction form
    1,597,213/3,463,913 = 3,463,913/x
  3. Step 3: Cross multiply
    1,597,213x = 3,463,913 × 3,463,913
  4. Step 4: Simplify right side
    1,597,213x = 11,998,693,271,569
  5. Step 5: Solve for x
    x = 11,998,693,271,569/1,597,213
  6. Step 6: Final answer
    x = 7,512,268.73

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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.