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Finding the Third Proportional to 1,323,870.75 and 1,984,027.50

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Solution

The third proportional to 1,323,870.75 and 1,984,027.50 is: 2,973,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323,870.75 : 1,984,027.50 = 1,984,027.50 : x
  2. Step 2: Convert to fraction form
    1,323,870.75/1,984,027.50 = 1,984,027.50/x
  3. Step 3: Cross multiply
    1,323,870.75x = 1,984,027.50 × 1,984,027.50
  4. Step 4: Simplify right side
    1,323,870.75x = 3,936,365,120,756.25
  5. Step 5: Solve for x
    x = 3,936,365,120,756.25/1,323,870.75
  6. Step 6: Final answer
    x = 2,973,375.70

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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.