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Finding the Third Proportional to 659,400 and 1,027,621.50

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Solution

The third proportional to 659,400 and 1,027,621.50 is: 1,601,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,400 : 1,027,621.50 = 1,027,621.50 : x
  2. Step 2: Convert to fraction form
    659,400/1,027,621.50 = 1,027,621.50/x
  3. Step 3: Cross multiply
    659,400x = 1,027,621.50 × 1,027,621.50
  4. Step 4: Simplify right side
    659,400x = 1,056,005,947,262.25
  5. Step 5: Solve for x
    x = 1,056,005,947,262.25/659,400
  6. Step 6: Final answer
    x = 1,601,464.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.