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Finding the Third Proportional to 2,027,419 and 2,834,449.50

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Solution

The third proportional to 2,027,419 and 2,834,449.50 is: 3,962,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,419 : 2,834,449.50 = 2,834,449.50 : x
  2. Step 2: Convert to fraction form
    2,027,419/2,834,449.50 = 2,834,449.50/x
  3. Step 3: Cross multiply
    2,027,419x = 2,834,449.50 × 2,834,449.50
  4. Step 4: Simplify right side
    2,027,419x = 8,034,103,968,050.25
  5. Step 5: Solve for x
    x = 8,034,103,968,050.25/2,027,419
  6. Step 6: Final answer
    x = 3,962,725.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.