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Finding the Third Proportional to 1,784,742 and 2,681,069

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Solution

The third proportional to 1,784,742 and 2,681,069 is: 4,027,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,742 : 2,681,069 = 2,681,069 : x
  2. Step 2: Convert to fraction form
    1,784,742/2,681,069 = 2,681,069/x
  3. Step 3: Cross multiply
    1,784,742x = 2,681,069 × 2,681,069
  4. Step 4: Simplify right side
    1,784,742x = 7,188,130,982,761
  5. Step 5: Solve for x
    x = 7,188,130,982,761/1,784,742
  6. Step 6: Final answer
    x = 4,027,546.27

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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.