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Finding the Third Proportional to 467,605.83 and 1,007,321.91

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Solution

The third proportional to 467,605.83 and 1,007,321.91 is: 2,169,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,605.83 : 1,007,321.91 = 1,007,321.91 : x
  2. Step 2: Convert to fraction form
    467,605.83/1,007,321.91 = 1,007,321.91/x
  3. Step 3: Cross multiply
    467,605.83x = 1,007,321.91 × 1,007,321.91
  4. Step 4: Simplify right side
    467,605.83x = 1,014,697,422,811.13
  5. Step 5: Solve for x
    x = 1,014,697,422,811.13/467,605.83
  6. Step 6: Final answer
    x = 2,169,984.55

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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.