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Finding the Third Proportional to 3,419,069 and 5,414,009.50

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Solution

The third proportional to 3,419,069 and 5,414,009.50 is: 8,572,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,069 : 5,414,009.50 = 5,414,009.50 : x
  2. Step 2: Convert to fraction form
    3,419,069/5,414,009.50 = 5,414,009.50/x
  3. Step 3: Cross multiply
    3,419,069x = 5,414,009.50 × 5,414,009.50
  4. Step 4: Simplify right side
    3,419,069x = 29,311,498,866,090.25
  5. Step 5: Solve for x
    x = 29,311,498,866,090.25/3,419,069
  6. Step 6: Final answer
    x = 8,572,947.45

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.