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Finding the Third Proportional to 2,419,692.75 and 3,714,133.50

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Solution

The third proportional to 2,419,692.75 and 3,714,133.50 is: 5,701,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,692.75 : 3,714,133.50 = 3,714,133.50 : x
  2. Step 2: Convert to fraction form
    2,419,692.75/3,714,133.50 = 3,714,133.50/x
  3. Step 3: Cross multiply
    2,419,692.75x = 3,714,133.50 × 3,714,133.50
  4. Step 4: Simplify right side
    2,419,692.75x = 13,794,787,655,822.25
  5. Step 5: Solve for x
    x = 13,794,787,655,822.25/2,419,692.75
  6. Step 6: Final answer
    x = 5,701,049.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.