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Finding the Third Proportional to 1,997,298 and 4,274,532

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Solution

The third proportional to 1,997,298 and 4,274,532 is: 9,148,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,298 : 4,274,532 = 4,274,532 : x
  2. Step 2: Convert to fraction form
    1,997,298/4,274,532 = 4,274,532/x
  3. Step 3: Cross multiply
    1,997,298x = 4,274,532 × 4,274,532
  4. Step 4: Simplify right side
    1,997,298x = 18,271,623,819,024
  5. Step 5: Solve for x
    x = 18,271,623,819,024/1,997,298
  6. Step 6: Final answer
    x = 9,148,171.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.