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Finding the Third Proportional to 2,291,380.50 and 4,976,866.50

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Solution

The third proportional to 2,291,380.50 and 4,976,866.50 is: 10,809,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,380.50 : 4,976,866.50 = 4,976,866.50 : x
  2. Step 2: Convert to fraction form
    2,291,380.50/4,976,866.50 = 4,976,866.50/x
  3. Step 3: Cross multiply
    2,291,380.50x = 4,976,866.50 × 4,976,866.50
  4. Step 4: Simplify right side
    2,291,380.50x = 24,769,200,158,822.25
  5. Step 5: Solve for x
    x = 24,769,200,158,822.25/2,291,380.50
  6. Step 6: Final answer
    x = 10,809,728.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.