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Finding the Third Proportional to 2,099,538 and 3,148,740

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Solution

The third proportional to 2,099,538 and 3,148,740 is: 4,722,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,538 : 3,148,740 = 3,148,740 : x
  2. Step 2: Convert to fraction form
    2,099,538/3,148,740 = 3,148,740/x
  3. Step 3: Cross multiply
    2,099,538x = 3,148,740 × 3,148,740
  4. Step 4: Simplify right side
    2,099,538x = 9,914,563,587,600
  5. Step 5: Solve for x
    x = 9,914,563,587,600/2,099,538
  6. Step 6: Final answer
    x = 4,722,259.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.