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Finding the Third Proportional to 985,171.75 and 2,122,319.50

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Solution

The third proportional to 985,171.75 and 2,122,319.50 is: 4,572,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,171.75 : 2,122,319.50 = 2,122,319.50 : x
  2. Step 2: Convert to fraction form
    985,171.75/2,122,319.50 = 2,122,319.50/x
  3. Step 3: Cross multiply
    985,171.75x = 2,122,319.50 × 2,122,319.50
  4. Step 4: Simplify right side
    985,171.75x = 4,504,240,060,080.25
  5. Step 5: Solve for x
    x = 4,504,240,060,080.25/985,171.75
  6. Step 6: Final answer
    x = 4,572,035.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.