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Finding the Third Proportional to 601,119 and 899,794.50

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Solution

The third proportional to 601,119 and 899,794.50 is: 1,346,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,119 : 899,794.50 = 899,794.50 : x
  2. Step 2: Convert to fraction form
    601,119/899,794.50 = 899,794.50/x
  3. Step 3: Cross multiply
    601,119x = 899,794.50 × 899,794.50
  4. Step 4: Simplify right side
    601,119x = 809,630,142,230.25
  5. Step 5: Solve for x
    x = 809,630,142,230.25/601,119
  6. Step 6: Final answer
    x = 1,346,871.65

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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.